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Finding the Fourth Proportional to 5,581.38, 7,702.68 and 3,097.38

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Solution

The fourth proportional to 5,581.38, 7,702.68 and 3,097.38 is: 4,274.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.38 : 7,702.68 = 3,097.38 : x
  2. Step 2: Convert to fraction form
    5,581.38/7,702.68 = 3,097.38/x
  3. Step 3: Cross multiply
    5,581.38x = 7,702.68 × 3,097.38
  4. Step 4: Simplify right side
    5,581.38x = 23,858,126.98
  5. Step 5: Solve for x
    x = 23,858,126.98/5,581.38
  6. Step 6: Final answer
    x = 4,274.59

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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.