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Finding the Fourth Proportional to 11,503, 15,867.66 and 7,523.20

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Solution

The fourth proportional to 11,503, 15,867.66 and 7,523.20 is: 10,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503 : 15,867.66 = 7,523.20 : x
  2. Step 2: Convert to fraction form
    11,503/15,867.66 = 7,523.20/x
  3. Step 3: Cross multiply
    11,503x = 15,867.66 × 7,523.20
  4. Step 4: Simplify right side
    11,503x = 119,375,579.71
  5. Step 5: Solve for x
    x = 119,375,579.71/11,503
  6. Step 6: Final answer
    x = 10,377.78

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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.