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Finding the Fourth Proportional to 5,471.68, 8,186.76 and 3,355.76

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Solution

The fourth proportional to 5,471.68, 8,186.76 and 3,355.76 is: 5,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.68 : 8,186.76 = 3,355.76 : x
  2. Step 2: Convert to fraction form
    5,471.68/8,186.76 = 3,355.76/x
  3. Step 3: Cross multiply
    5,471.68x = 8,186.76 × 3,355.76
  4. Step 4: Simplify right side
    5,471.68x = 27,472,801.74
  5. Step 5: Solve for x
    x = 27,472,801.74/5,471.68
  6. Step 6: Final answer
    x = 5,020.91

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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.