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Finding the Fourth Proportional to 12,684.10, 17,503.62 and 7,018.76

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Solution

The fourth proportional to 12,684.10, 17,503.62 and 7,018.76 is: 9,685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.10 : 17,503.62 = 7,018.76 : x
  2. Step 2: Convert to fraction form
    12,684.10/17,503.62 = 7,018.76/x
  3. Step 3: Cross multiply
    12,684.10x = 17,503.62 × 7,018.76
  4. Step 4: Simplify right side
    12,684.10x = 122,853,707.91
  5. Step 5: Solve for x
    x = 122,853,707.91/12,684.10
  6. Step 6: Final answer
    x = 9,685.65

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Half scale
Find fourth proportional to 25,368.20, 35,007.24 and 14,037.52
Double scale
Find fourth proportional to 12,685.10, 17,505 and 7,019.76
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.