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Finding the Fourth Proportional to 12,380.16, 18,558 and 4,586.88

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Solution

The fourth proportional to 12,380.16, 18,558 and 4,586.88 is: 6,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.16 : 18,558 = 4,586.88 : x
  2. Step 2: Convert to fraction form
    12,380.16/18,558 = 4,586.88/x
  3. Step 3: Cross multiply
    12,380.16x = 18,558 × 4,586.88
  4. Step 4: Simplify right side
    12,380.16x = 85,123,319.04
  5. Step 5: Solve for x
    x = 85,123,319.04/12,380.16
  6. Step 6: Final answer
    x = 6,875.79

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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.