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Finding the Fourth Proportional to 6,769.80, 10,151.10 and 2,869.80

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Solution

The fourth proportional to 6,769.80, 10,151.10 and 2,869.80 is: 4,303.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.80 : 10,151.10 = 2,869.80 : x
  2. Step 2: Convert to fraction form
    6,769.80/10,151.10 = 2,869.80/x
  3. Step 3: Cross multiply
    6,769.80x = 10,151.10 × 2,869.80
  4. Step 4: Simplify right side
    6,769.80x = 29,131,626.78
  5. Step 5: Solve for x
    x = 29,131,626.78/6,769.80
  6. Step 6: Final answer
    x = 4,303.17

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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.