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Finding the Fourth Proportional to 9,149.52, 13,728.28 and 3,958.80

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Solution

The fourth proportional to 9,149.52, 13,728.28 and 3,958.80 is: 5,939.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.52 : 13,728.28 = 3,958.80 : x
  2. Step 2: Convert to fraction form
    9,149.52/13,728.28 = 3,958.80/x
  3. Step 3: Cross multiply
    9,149.52x = 13,728.28 × 3,958.80
  4. Step 4: Simplify right side
    9,149.52x = 54,347,514.86
  5. Step 5: Solve for x
    x = 54,347,514.86/9,149.52
  6. Step 6: Final answer
    x = 5,939.93

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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.