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Finding the Fourth Proportional to 9,242.38, 13,843.95 and 8,581.42

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Solution

The fourth proportional to 9,242.38, 13,843.95 and 8,581.42 is: 12,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.38 : 13,843.95 = 8,581.42 : x
  2. Step 2: Convert to fraction form
    9,242.38/13,843.95 = 8,581.42/x
  3. Step 3: Cross multiply
    9,242.38x = 13,843.95 × 8,581.42
  4. Step 4: Simplify right side
    9,242.38x = 118,800,749.41
  5. Step 5: Solve for x
    x = 118,800,749.41/9,242.38
  6. Step 6: Final answer
    x = 12,853.91

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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.