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Finding the Fourth Proportional to 12,149.16, 18,213.87 and 5,124.63

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Solution

The fourth proportional to 12,149.16, 18,213.87 and 5,124.63 is: 7,682.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.16 : 18,213.87 = 5,124.63 : x
  2. Step 2: Convert to fraction form
    12,149.16/18,213.87 = 5,124.63/x
  3. Step 3: Cross multiply
    12,149.16x = 18,213.87 × 5,124.63
  4. Step 4: Simplify right side
    12,149.16x = 93,339,344.62
  5. Step 5: Solve for x
    x = 93,339,344.62/12,149.16
  6. Step 6: Final answer
    x = 7,682.78

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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.