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Finding the Fourth Proportional to 7,489.71, 11,234.01 and 2,562.81

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Solution

The fourth proportional to 7,489.71, 11,234.01 and 2,562.81 is: 3,844.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.71 : 11,234.01 = 2,562.81 : x
  2. Step 2: Convert to fraction form
    7,489.71/11,234.01 = 2,562.81/x
  3. Step 3: Cross multiply
    7,489.71x = 11,234.01 × 2,562.81
  4. Step 4: Simplify right side
    7,489.71x = 28,790,633.17
  5. Step 5: Solve for x
    x = 28,790,633.17/7,489.71
  6. Step 6: Final answer
    x = 3,844.03

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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.