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Finding the Fourth Proportional to 17,920.66, 24,729.11 and 9,962.40

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Solution

The fourth proportional to 17,920.66, 24,729.11 and 9,962.40 is: 13,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.66 : 24,729.11 = 9,962.40 : x
  2. Step 2: Convert to fraction form
    17,920.66/24,729.11 = 9,962.40/x
  3. Step 3: Cross multiply
    17,920.66x = 24,729.11 × 9,962.40
  4. Step 4: Simplify right side
    17,920.66x = 246,361,285.46
  5. Step 5: Solve for x
    x = 246,361,285.46/17,920.66
  6. Step 6: Final answer
    x = 13,747.33

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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.