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Finding the Fourth Proportional to 22,906.70, 31,615.86 and 15,658.16

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Solution

The fourth proportional to 22,906.70, 31,615.86 and 15,658.16 is: 21,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,906.70 : 31,615.86 = 15,658.16 : x
  2. Step 2: Convert to fraction form
    22,906.70/31,615.86 = 15,658.16/x
  3. Step 3: Cross multiply
    22,906.70x = 31,615.86 × 15,658.16
  4. Step 4: Simplify right side
    22,906.70x = 495,046,115.38
  5. Step 5: Solve for x
    x = 495,046,115.38/22,906.70
  6. Step 6: Final answer
    x = 21,611.42

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Half 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.