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Finding the Fourth Proportional to 9,781.65, 14,672.59 and 2,761.84

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Solution

The fourth proportional to 9,781.65, 14,672.59 and 2,761.84 is: 4,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.65 : 14,672.59 = 2,761.84 : x
  2. Step 2: Convert to fraction form
    9,781.65/14,672.59 = 2,761.84/x
  3. Step 3: Cross multiply
    9,781.65x = 14,672.59 × 2,761.84
  4. Step 4: Simplify right side
    9,781.65x = 40,523,345.97
  5. Step 5: Solve for x
    x = 40,523,345.97/9,781.65
  6. Step 6: Final answer
    x = 4,142.79

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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.