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Finding the Fourth Proportional to 5,116.80, 7,677.90 and 2,343.90

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Solution

The fourth proportional to 5,116.80, 7,677.90 and 2,343.90 is: 3,517.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.80 : 7,677.90 = 2,343.90 : x
  2. Step 2: Convert to fraction form
    5,116.80/7,677.90 = 2,343.90/x
  3. Step 3: Cross multiply
    5,116.80x = 7,677.90 × 2,343.90
  4. Step 4: Simplify right side
    5,116.80x = 17,996,229.81
  5. Step 5: Solve for x
    x = 17,996,229.81/5,116.80
  6. Step 6: Final answer
    x = 3,517.09

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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.