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Finding the Fourth Proportional to 5,660.46, 7,809.28 and 4,171.92

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Solution

The fourth proportional to 5,660.46, 7,809.28 and 4,171.92 is: 5,755.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,660.46 : 7,809.28 = 4,171.92 : x
  2. Step 2: Convert to fraction form
    5,660.46/7,809.28 = 4,171.92/x
  3. Step 3: Cross multiply
    5,660.46x = 7,809.28 × 4,171.92
  4. Step 4: Simplify right side
    5,660.46x = 32,579,691.42
  5. Step 5: Solve for x
    x = 32,579,691.42/5,660.46
  6. Step 6: Final answer
    x = 5,755.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.