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Finding the Fourth Proportional to 7,387.72, 11,077.74 and 3,493

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Solution

The fourth proportional to 7,387.72, 11,077.74 and 3,493 is: 5,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.72 : 11,077.74 = 3,493 : x
  2. Step 2: Convert to fraction form
    7,387.72/11,077.74 = 3,493/x
  3. Step 3: Cross multiply
    7,387.72x = 11,077.74 × 3,493
  4. Step 4: Simplify right side
    7,387.72x = 38,694,545.82
  5. Step 5: Solve for x
    x = 38,694,545.82/7,387.72
  6. Step 6: Final answer
    x = 5,237.68

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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.