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Finding the Fourth Proportional to 20,754, 31,130.89 and 9,654.57

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Solution

The fourth proportional to 20,754, 31,130.89 and 9,654.57 is: 14,481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,754 : 31,130.89 = 9,654.57 : x
  2. Step 2: Convert to fraction form
    20,754/31,130.89 = 9,654.57/x
  3. Step 3: Cross multiply
    20,754x = 31,130.89 × 9,654.57
  4. Step 4: Simplify right side
    20,754x = 300,555,356.67
  5. Step 5: Solve for x
    x = 300,555,356.67/20,754
  6. Step 6: Final answer
    x = 14,481.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.