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Finding the Fourth Proportional to 7,681.53, 11,524.13 and 2,487.41

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Solution

The fourth proportional to 7,681.53, 11,524.13 and 2,487.41 is: 3,731.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.53 : 11,524.13 = 2,487.41 : x
  2. Step 2: Convert to fraction form
    7,681.53/11,524.13 = 2,487.41/x
  3. Step 3: Cross multiply
    7,681.53x = 11,524.13 × 2,487.41
  4. Step 4: Simplify right side
    7,681.53x = 28,665,236.20
  5. Step 5: Solve for x
    x = 28,665,236.20/7,681.53
  6. Step 6: Final answer
    x = 3,731.71

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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.