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Finding the Fourth Proportional to 16,606.50, 22,915.14 and 9,891.21

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Solution

The fourth proportional to 16,606.50, 22,915.14 and 9,891.21 is: 13,648.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,606.50 : 22,915.14 = 9,891.21 : x
  2. Step 2: Convert to fraction form
    16,606.50/22,915.14 = 9,891.21/x
  3. Step 3: Cross multiply
    16,606.50x = 22,915.14 × 9,891.21
  4. Step 4: Simplify right side
    16,606.50x = 226,658,461.92
  5. Step 5: Solve for x
    x = 226,658,461.92/16,606.50
  6. Step 6: Final answer
    x = 13,648.78

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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.