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Finding the Fourth Proportional to 2,068, 3,102.90 and 769.24

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Solution

The fourth proportional to 2,068, 3,102.90 and 769.24 is: 1,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,068 : 3,102.90 = 769.24 : x
  2. Step 2: Convert to fraction form
    2,068/3,102.90 = 769.24/x
  3. Step 3: Cross multiply
    2,068x = 3,102.90 × 769.24
  4. Step 4: Simplify right side
    2,068x = 2,386,874.80
  5. Step 5: Solve for x
    x = 2,386,874.80/2,068
  6. Step 6: Final answer
    x = 1,154.19

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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.