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Finding the Fourth Proportional to 2,531.18, 3,797.49 and 887.90

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Solution

The fourth proportional to 2,531.18, 3,797.49 and 887.90 is: 1,332.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.18 : 3,797.49 = 887.90 : x
  2. Step 2: Convert to fraction form
    2,531.18/3,797.49 = 887.90/x
  3. Step 3: Cross multiply
    2,531.18x = 3,797.49 × 887.90
  4. Step 4: Simplify right side
    2,531.18x = 3,371,791.37
  5. Step 5: Solve for x
    x = 3,371,791.37/2,531.18
  6. Step 6: Final answer
    x = 1,332.10

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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.