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Finding the Fourth Proportional to 2,575.28, 3,862.11 and 843.50

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Solution

The fourth proportional to 2,575.28, 3,862.11 and 843.50 is: 1,264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.28 : 3,862.11 = 843.50 : x
  2. Step 2: Convert to fraction form
    2,575.28/3,862.11 = 843.50/x
  3. Step 3: Cross multiply
    2,575.28x = 3,862.11 × 843.50
  4. Step 4: Simplify right side
    2,575.28x = 3,257,689.79
  5. Step 5: Solve for x
    x = 3,257,689.79/2,575.28
  6. Step 6: Final answer
    x = 1,264.98

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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.