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Finding the Fourth Proportional to 12,684.24, 17,503.84 and 7,018.64

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Solution

The fourth proportional to 12,684.24, 17,503.84 and 7,018.64 is: 9,685.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.24 : 17,503.84 = 7,018.64 : x
  2. Step 2: Convert to fraction form
    12,684.24/17,503.84 = 7,018.64/x
  3. Step 3: Cross multiply
    12,684.24x = 17,503.84 × 7,018.64
  4. Step 4: Simplify right side
    12,684.24x = 122,853,151.58
  5. Step 5: Solve for x
    x = 122,853,151.58/12,684.24
  6. Step 6: Final answer
    x = 9,685.50

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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.