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Finding the Fourth Proportional to 7,609, 11,404.92 and 5,754.10

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Solution

The fourth proportional to 7,609, 11,404.92 and 5,754.10 is: 8,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,609 : 11,404.92 = 5,754.10 : x
  2. Step 2: Convert to fraction form
    7,609/11,404.92 = 5,754.10/x
  3. Step 3: Cross multiply
    7,609x = 11,404.92 × 5,754.10
  4. Step 4: Simplify right side
    7,609x = 65,625,050.17
  5. Step 5: Solve for x
    x = 65,625,050.17/7,609
  6. Step 6: Final answer
    x = 8,624.66

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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.