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Finding the Fourth Proportional to 5,291.63, 7,936.42 and 2,658.42

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Solution

The fourth proportional to 5,291.63, 7,936.42 and 2,658.42 is: 3,987.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.63 : 7,936.42 = 2,658.42 : x
  2. Step 2: Convert to fraction form
    5,291.63/7,936.42 = 2,658.42/x
  3. Step 3: Cross multiply
    5,291.63x = 7,936.42 × 2,658.42
  4. Step 4: Simplify right side
    5,291.63x = 21,098,375.69
  5. Step 5: Solve for x
    x = 21,098,375.69/5,291.63
  6. Step 6: Final answer
    x = 3,987.13

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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.