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Finding the Fourth Proportional to 11,251.44, 15,523.92 and 7,715.52

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Solution

The fourth proportional to 11,251.44, 15,523.92 and 7,715.52 is: 10,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,251.44 : 15,523.92 = 7,715.52 : x
  2. Step 2: Convert to fraction form
    11,251.44/15,523.92 = 7,715.52/x
  3. Step 3: Cross multiply
    11,251.44x = 15,523.92 × 7,715.52
  4. Step 4: Simplify right side
    11,251.44x = 119,775,115.24
  5. Step 5: Solve for x
    x = 119,775,115.24/11,251.44
  6. Step 6: Final answer
    x = 10,645.31

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1.5x scale

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.