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Finding the Fourth Proportional to 17,715, 24,446.70 and 9,757.20

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Solution

The fourth proportional to 17,715, 24,446.70 and 9,757.20 is: 13,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715 : 24,446.70 = 9,757.20 : x
  2. Step 2: Convert to fraction form
    17,715/24,446.70 = 9,757.20/x
  3. Step 3: Cross multiply
    17,715x = 24,446.70 × 9,757.20
  4. Step 4: Simplify right side
    17,715x = 238,531,341.24
  5. Step 5: Solve for x
    x = 238,531,341.24/17,715
  6. Step 6: Final answer
    x = 13,464.94

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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.