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Finding the Fourth Proportional to 8,857.40, 12,223 and 5,082.78

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Solution

The fourth proportional to 8,857.40, 12,223 and 5,082.78 is: 7,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,857.40 : 12,223 = 5,082.78 : x
  2. Step 2: Convert to fraction form
    8,857.40/12,223 = 5,082.78/x
  3. Step 3: Cross multiply
    8,857.40x = 12,223 × 5,082.78
  4. Step 4: Simplify right side
    8,857.40x = 62,126,819.94
  5. Step 5: Solve for x
    x = 62,126,819.94/8,857.40
  6. Step 6: Final answer
    x = 7,014.11

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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.