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Finding the Fourth Proportional to 5,476, 8,211.12 and 2,702.56

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Solution

The fourth proportional to 5,476, 8,211.12 and 2,702.56 is: 4,052.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476 : 8,211.12 = 2,702.56 : x
  2. Step 2: Convert to fraction form
    5,476/8,211.12 = 2,702.56/x
  3. Step 3: Cross multiply
    5,476x = 8,211.12 × 2,702.56
  4. Step 4: Simplify right side
    5,476x = 22,191,044.47
  5. Step 5: Solve for x
    x = 22,191,044.47/5,476
  6. Step 6: Final answer
    x = 4,052.42

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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.