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Finding the Fourth Proportional to 5,167.62, 7,131 and 2,809.74

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Solution

The fourth proportional to 5,167.62, 7,131 and 2,809.74 is: 3,877.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.62 : 7,131 = 2,809.74 : x
  2. Step 2: Convert to fraction form
    5,167.62/7,131 = 2,809.74/x
  3. Step 3: Cross multiply
    5,167.62x = 7,131 × 2,809.74
  4. Step 4: Simplify right side
    5,167.62x = 20,036,255.94
  5. Step 5: Solve for x
    x = 20,036,255.94/5,167.62
  6. Step 6: Final answer
    x = 3,877.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.