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Finding the Fourth Proportional to 2,543.52, 3,815.28 and 877.62

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Solution

The fourth proportional to 2,543.52, 3,815.28 and 877.62 is: 1,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,543.52 : 3,815.28 = 877.62 : x
  2. Step 2: Convert to fraction form
    2,543.52/3,815.28 = 877.62/x
  3. Step 3: Cross multiply
    2,543.52x = 3,815.28 × 877.62
  4. Step 4: Simplify right side
    2,543.52x = 3,348,366.03
  5. Step 5: Solve for x
    x = 3,348,366.03/2,543.52
  6. Step 6: Final answer
    x = 1,316.43

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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.