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Finding the Fourth Proportional to 9,687.79, 14,538.91 and 3,765.61

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Solution

The fourth proportional to 9,687.79, 14,538.91 and 3,765.61 is: 5,651.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.79 : 14,538.91 = 3,765.61 : x
  2. Step 2: Convert to fraction form
    9,687.79/14,538.91 = 3,765.61/x
  3. Step 3: Cross multiply
    9,687.79x = 14,538.91 × 3,765.61
  4. Step 4: Simplify right side
    9,687.79x = 54,747,864.89
  5. Step 5: Solve for x
    x = 54,747,864.89/9,687.79
  6. Step 6: Final answer
    x = 5,651.22

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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.