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Finding the Fourth Proportional to 2,648.52, 3,972.87 and 1,551.78

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Solution

The fourth proportional to 2,648.52, 3,972.87 and 1,551.78 is: 2,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.52 : 3,972.87 = 1,551.78 : x
  2. Step 2: Convert to fraction form
    2,648.52/3,972.87 = 1,551.78/x
  3. Step 3: Cross multiply
    2,648.52x = 3,972.87 × 1,551.78
  4. Step 4: Simplify right side
    2,648.52x = 6,165,020.21
  5. Step 5: Solve for x
    x = 6,165,020.21/2,648.52
  6. Step 6: Final answer
    x = 2,327.72

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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.