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Finding the Fourth Proportional to 2,551.18, 3,520.72 and 1,432.12

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Solution

The fourth proportional to 2,551.18, 3,520.72 and 1,432.12 is: 1,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.18 : 3,520.72 = 1,432.12 : x
  2. Step 2: Convert to fraction form
    2,551.18/3,520.72 = 1,432.12/x
  3. Step 3: Cross multiply
    2,551.18x = 3,520.72 × 1,432.12
  4. Step 4: Simplify right side
    2,551.18x = 5,042,093.53
  5. Step 5: Solve for x
    x = 5,042,093.53/2,551.18
  6. Step 6: Final answer
    x = 1,976.38

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Why These Related Problems?

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