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Finding the Fourth Proportional to 7,489.76, 11,234.64 and 2,559.44

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Solution

The fourth proportional to 7,489.76, 11,234.64 and 2,559.44 is: 3,839.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.76 : 11,234.64 = 2,559.44 : x
  2. Step 2: Convert to fraction form
    7,489.76/11,234.64 = 2,559.44/x
  3. Step 3: Cross multiply
    7,489.76x = 11,234.64 × 2,559.44
  4. Step 4: Simplify right side
    7,489.76x = 28,754,374.20
  5. Step 5: Solve for x
    x = 28,754,374.20/7,489.76
  6. Step 6: Final answer
    x = 3,839.16

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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.