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Finding the Fourth Proportional to 5,665, 7,817.70 and 3,181

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Solution

The fourth proportional to 5,665, 7,817.70 and 3,181 is: 4,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665 : 7,817.70 = 3,181 : x
  2. Step 2: Convert to fraction form
    5,665/7,817.70 = 3,181/x
  3. Step 3: Cross multiply
    5,665x = 7,817.70 × 3,181
  4. Step 4: Simplify right side
    5,665x = 24,868,103.70
  5. Step 5: Solve for x
    x = 24,868,103.70/5,665
  6. Step 6: Final answer
    x = 4,389.78

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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.