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Finding the Fourth Proportional to 8,324.20, 11,500.90 and 8,242.28

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Solution

The fourth proportional to 8,324.20, 11,500.90 and 8,242.28 is: 11,387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.20 : 11,500.90 = 8,242.28 : x
  2. Step 2: Convert to fraction form
    8,324.20/11,500.90 = 8,242.28/x
  3. Step 3: Cross multiply
    8,324.20x = 11,500.90 × 8,242.28
  4. Step 4: Simplify right side
    8,324.20x = 94,793,638.05
  5. Step 5: Solve for x
    x = 94,793,638.05/8,324.20
  6. Step 6: Final answer
    x = 11,387.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.