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Finding the Fourth Proportional to 8,471.63, 12,708.17 and 2,922.73

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Solution

The fourth proportional to 8,471.63, 12,708.17 and 2,922.73 is: 4,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.63 : 12,708.17 = 2,922.73 : x
  2. Step 2: Convert to fraction form
    8,471.63/12,708.17 = 2,922.73/x
  3. Step 3: Cross multiply
    8,471.63x = 12,708.17 × 2,922.73
  4. Step 4: Simplify right side
    8,471.63x = 37,142,549.70
  5. Step 5: Solve for x
    x = 37,142,549.70/8,471.63
  6. Step 6: Final answer
    x = 4,384.35

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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.