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Finding the Fourth Proportional to 7,585.32, 11,391 and 6,431.88

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Solution

The fourth proportional to 7,585.32, 11,391 and 6,431.88 is: 9,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.32 : 11,391 = 6,431.88 : x
  2. Step 2: Convert to fraction form
    7,585.32/11,391 = 6,431.88/x
  3. Step 3: Cross multiply
    7,585.32x = 11,391 × 6,431.88
  4. Step 4: Simplify right side
    7,585.32x = 73,265,545.08
  5. Step 5: Solve for x
    x = 73,265,545.08/7,585.32
  6. Step 6: Final answer
    x = 9,658.86

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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.