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Finding the Fourth Proportional to 8,407.43, 12,609.12 and 3,724.85

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Solution

The fourth proportional to 8,407.43, 12,609.12 and 3,724.85 is: 5,586.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.43 : 12,609.12 = 3,724.85 : x
  2. Step 2: Convert to fraction form
    8,407.43/12,609.12 = 3,724.85/x
  3. Step 3: Cross multiply
    8,407.43x = 12,609.12 × 3,724.85
  4. Step 4: Simplify right side
    8,407.43x = 46,967,062.01
  5. Step 5: Solve for x
    x = 46,967,062.01/8,407.43
  6. Step 6: Final answer
    x = 5,586.38

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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.