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Finding the Fourth Proportional to 8,209.74, 11,403.88 and 8,082.55

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Solution

The fourth proportional to 8,209.74, 11,403.88 and 8,082.55 is: 11,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.74 : 11,403.88 = 8,082.55 : x
  2. Step 2: Convert to fraction form
    8,209.74/11,403.88 = 8,082.55/x
  3. Step 3: Cross multiply
    8,209.74x = 11,403.88 × 8,082.55
  4. Step 4: Simplify right side
    8,209.74x = 92,172,424.34
  5. Step 5: Solve for x
    x = 92,172,424.34/8,209.74
  6. Step 6: Final answer
    x = 11,227.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.