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Finding the Fourth Proportional to 9,221.52, 13,830.36 and 2,982.12

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Solution

The fourth proportional to 9,221.52, 13,830.36 and 2,982.12 is: 4,472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.52 : 13,830.36 = 2,982.12 : x
  2. Step 2: Convert to fraction form
    9,221.52/13,830.36 = 2,982.12/x
  3. Step 3: Cross multiply
    9,221.52x = 13,830.36 × 2,982.12
  4. Step 4: Simplify right side
    9,221.52x = 41,243,793.16
  5. Step 5: Solve for x
    x = 41,243,793.16/9,221.52
  6. Step 6: Final answer
    x = 4,472.56

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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.