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Finding the Fourth Proportional to 11,687.52, 17,530.68 and 4,291.41

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Solution

The fourth proportional to 11,687.52, 17,530.68 and 4,291.41 is: 6,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.52 : 17,530.68 = 4,291.41 : x
  2. Step 2: Convert to fraction form
    11,687.52/17,530.68 = 4,291.41/x
  3. Step 3: Cross multiply
    11,687.52x = 17,530.68 × 4,291.41
  4. Step 4: Simplify right side
    11,687.52x = 75,231,226.35
  5. Step 5: Solve for x
    x = 75,231,226.35/11,687.52
  6. Step 6: Final answer
    x = 6,436.89

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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.