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Finding the Fourth Proportional to 15,216.32, 22,815.84 and 9,064.64

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Solution

The fourth proportional to 15,216.32, 22,815.84 and 9,064.64 is: 13,591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,216.32 : 22,815.84 = 9,064.64 : x
  2. Step 2: Convert to fraction form
    15,216.32/22,815.84 = 9,064.64/x
  3. Step 3: Cross multiply
    15,216.32x = 22,815.84 × 9,064.64
  4. Step 4: Simplify right side
    15,216.32x = 206,817,375.90
  5. Step 5: Solve for x
    x = 206,817,375.90/15,216.32
  6. Step 6: Final answer
    x = 13,591.81

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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.