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Finding the Fourth Proportional to 17,920.86, 24,729.70 and 9,962.80

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Solution

The fourth proportional to 17,920.86, 24,729.70 and 9,962.80 is: 13,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.86 : 24,729.70 = 9,962.80 : x
  2. Step 2: Convert to fraction form
    17,920.86/24,729.70 = 9,962.80/x
  3. Step 3: Cross multiply
    17,920.86x = 24,729.70 × 9,962.80
  4. Step 4: Simplify right side
    17,920.86x = 246,377,055.16
  5. Step 5: Solve for x
    x = 246,377,055.16/17,920.86
  6. Step 6: Final answer
    x = 13,748.06

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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.