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Finding the Fourth Proportional to 5,687.78, 8,536.96 and 2,916.44

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Solution

The fourth proportional to 5,687.78, 8,536.96 and 2,916.44 is: 4,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.78 : 8,536.96 = 2,916.44 : x
  2. Step 2: Convert to fraction form
    5,687.78/8,536.96 = 2,916.44/x
  3. Step 3: Cross multiply
    5,687.78x = 8,536.96 × 2,916.44
  4. Step 4: Simplify right side
    5,687.78x = 24,897,531.62
  5. Step 5: Solve for x
    x = 24,897,531.62/5,687.78
  6. Step 6: Final answer
    x = 4,377.37

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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.