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Finding the Fourth Proportional to 12,589.62, 18,872.12 and 5,199.24

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Solution

The fourth proportional to 12,589.62, 18,872.12 and 5,199.24 is: 7,793.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.62 : 18,872.12 = 5,199.24 : x
  2. Step 2: Convert to fraction form
    12,589.62/18,872.12 = 5,199.24/x
  3. Step 3: Cross multiply
    12,589.62x = 18,872.12 × 5,199.24
  4. Step 4: Simplify right side
    12,589.62x = 98,120,681.19
  5. Step 5: Solve for x
    x = 98,120,681.19/12,589.62
  6. Step 6: Final answer
    x = 7,793.78

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1.5x scale

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.