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Finding the Fourth Proportional to 2,472.20, 3,708.61 and 912.21

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Solution

The fourth proportional to 2,472.20, 3,708.61 and 912.21 is: 1,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.20 : 3,708.61 = 912.21 : x
  2. Step 2: Convert to fraction form
    2,472.20/3,708.61 = 912.21/x
  3. Step 3: Cross multiply
    2,472.20x = 3,708.61 × 912.21
  4. Step 4: Simplify right side
    2,472.20x = 3,383,038.12
  5. Step 5: Solve for x
    x = 3,383,038.12/2,472.20
  6. Step 6: Final answer
    x = 1,368.43

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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.