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Finding the Fourth Proportional to 6,472.96, 8,932.72 and 3,678.56

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Solution

The fourth proportional to 6,472.96, 8,932.72 and 3,678.56 is: 5,076.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.96 : 8,932.72 = 3,678.56 : x
  2. Step 2: Convert to fraction form
    6,472.96/8,932.72 = 3,678.56/x
  3. Step 3: Cross multiply
    6,472.96x = 8,932.72 × 3,678.56
  4. Step 4: Simplify right side
    6,472.96x = 32,859,546.48
  5. Step 5: Solve for x
    x = 32,859,546.48/6,472.96
  6. Step 6: Final answer
    x = 5,076.43

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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.