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Finding the Fourth Proportional to 8,691.65, 13,032.53 and 5,731.69

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Solution

The fourth proportional to 8,691.65, 13,032.53 and 5,731.69 is: 8,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.65 : 13,032.53 = 5,731.69 : x
  2. Step 2: Convert to fraction form
    8,691.65/13,032.53 = 5,731.69/x
  3. Step 3: Cross multiply
    8,691.65x = 13,032.53 × 5,731.69
  4. Step 4: Simplify right side
    8,691.65x = 74,698,357.82
  5. Step 5: Solve for x
    x = 74,698,357.82/8,691.65
  6. Step 6: Final answer
    x = 8,594.26

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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.