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Finding the Fourth Proportional to 5,125.97, 7,690.16 and 2,202.65

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Solution

The fourth proportional to 5,125.97, 7,690.16 and 2,202.65 is: 3,304.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.97 : 7,690.16 = 2,202.65 : x
  2. Step 2: Convert to fraction form
    5,125.97/7,690.16 = 2,202.65/x
  3. Step 3: Cross multiply
    5,125.97x = 7,690.16 × 2,202.65
  4. Step 4: Simplify right side
    5,125.97x = 16,938,719.91
  5. Step 5: Solve for x
    x = 16,938,719.91/5,125.97
  6. Step 6: Final answer
    x = 3,304.49

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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.