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Finding the Fourth Proportional to 14,872.38, 20,524.18 and 8,157.60

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Solution

The fourth proportional to 14,872.38, 20,524.18 and 8,157.60 is: 11,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.38 : 20,524.18 = 8,157.60 : x
  2. Step 2: Convert to fraction form
    14,872.38/20,524.18 = 8,157.60/x
  3. Step 3: Cross multiply
    14,872.38x = 20,524.18 × 8,157.60
  4. Step 4: Simplify right side
    14,872.38x = 167,428,050.77
  5. Step 5: Solve for x
    x = 167,428,050.77/14,872.38
  6. Step 6: Final answer
    x = 11,257.65

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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.