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Finding the Fourth Proportional to 2,551.50, 3,521.20 and 1,432.38

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Solution

The fourth proportional to 2,551.50, 3,521.20 and 1,432.38 is: 1,976.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.50 : 3,521.20 = 1,432.38 : x
  2. Step 2: Convert to fraction form
    2,551.50/3,521.20 = 1,432.38/x
  3. Step 3: Cross multiply
    2,551.50x = 3,521.20 × 1,432.38
  4. Step 4: Simplify right side
    2,551.50x = 5,043,696.46
  5. Step 5: Solve for x
    x = 5,043,696.46/2,551.50
  6. Step 6: Final answer
    x = 1,976.76

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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.