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Finding the Fourth Proportional to 22,613.86, 31,205.03 and 12,542.11

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Solution

The fourth proportional to 22,613.86, 31,205.03 and 12,542.11 is: 17,306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,613.86 : 31,205.03 = 12,542.11 : x
  2. Step 2: Convert to fraction form
    22,613.86/31,205.03 = 12,542.11/x
  3. Step 3: Cross multiply
    22,613.86x = 31,205.03 × 12,542.11
  4. Step 4: Simplify right side
    22,613.86x = 391,376,918.81
  5. Step 5: Solve for x
    x = 391,376,918.81/22,613.86
  6. Step 6: Final answer
    x = 17,306.95

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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.