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Finding the Fourth Proportional to 47,589.85, 71,388.42 and 12,529

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Solution

The fourth proportional to 47,589.85, 71,388.42 and 12,529 is: 18,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,589.85 : 71,388.42 = 12,529 : x
  2. Step 2: Convert to fraction form
    47,589.85/71,388.42 = 12,529/x
  3. Step 3: Cross multiply
    47,589.85x = 71,388.42 × 12,529
  4. Step 4: Simplify right side
    47,589.85x = 894,425,514.18
  5. Step 5: Solve for x
    x = 894,425,514.18/47,589.85
  6. Step 6: Final answer
    x = 18,794.46

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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.