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Finding the Fourth Proportional to 3,446.72, 5,169.29 and 981.48

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Solution

The fourth proportional to 3,446.72, 5,169.29 and 981.48 is: 1,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.72 : 5,169.29 = 981.48 : x
  2. Step 2: Convert to fraction form
    3,446.72/5,169.29 = 981.48/x
  3. Step 3: Cross multiply
    3,446.72x = 5,169.29 × 981.48
  4. Step 4: Simplify right side
    3,446.72x = 5,073,557.20
  5. Step 5: Solve for x
    x = 5,073,557.20/3,446.72
  6. Step 6: Final answer
    x = 1,472.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.