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Finding the Fourth Proportional to 11,150, 15,387.48 and 6,672.90

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Solution

The fourth proportional to 11,150, 15,387.48 and 6,672.90 is: 9,208.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,150 : 15,387.48 = 6,672.90 : x
  2. Step 2: Convert to fraction form
    11,150/15,387.48 = 6,672.90/x
  3. Step 3: Cross multiply
    11,150x = 15,387.48 × 6,672.90
  4. Step 4: Simplify right side
    11,150x = 102,679,115.29
  5. Step 5: Solve for x
    x = 102,679,115.29/11,150
  6. Step 6: Final answer
    x = 9,208.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.