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Finding the Fourth Proportional to 8,471.77, 12,708.06 and 4,092.91

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Solution

The fourth proportional to 8,471.77, 12,708.06 and 4,092.91 is: 6,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.77 : 12,708.06 = 4,092.91 : x
  2. Step 2: Convert to fraction form
    8,471.77/12,708.06 = 4,092.91/x
  3. Step 3: Cross multiply
    8,471.77x = 12,708.06 × 4,092.91
  4. Step 4: Simplify right side
    8,471.77x = 52,012,945.85
  5. Step 5: Solve for x
    x = 52,012,945.85/8,471.77
  6. Step 6: Final answer
    x = 6,139.56

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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.