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Finding the Fourth Proportional to 12,118.69, 16,718.18 and 7,083.12

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Solution

The fourth proportional to 12,118.69, 16,718.18 and 7,083.12 is: 9,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,118.69 : 16,718.18 = 7,083.12 : x
  2. Step 2: Convert to fraction form
    12,118.69/16,718.18 = 7,083.12/x
  3. Step 3: Cross multiply
    12,118.69x = 16,718.18 × 7,083.12
  4. Step 4: Simplify right side
    12,118.69x = 118,416,942.24
  5. Step 5: Solve for x
    x = 118,416,942.24/12,118.69
  6. Step 6: Final answer
    x = 9,771.43

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Half scale
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Double scale
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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.