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Finding the Fourth Proportional to 2,551.25, 3,520.78 and 1,432.30

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Solution

The fourth proportional to 2,551.25, 3,520.78 and 1,432.30 is: 1,976.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.25 : 3,520.78 = 1,432.30 : x
  2. Step 2: Convert to fraction form
    2,551.25/3,520.78 = 1,432.30/x
  3. Step 3: Cross multiply
    2,551.25x = 3,520.78 × 1,432.30
  4. Step 4: Simplify right side
    2,551.25x = 5,042,800.81
  5. Step 5: Solve for x
    x = 5,042,800.81/2,551.25
  6. Step 6: Final answer
    x = 1,976.60

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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.