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Finding the Fourth Proportional to 2,769.98, 4,151.50 and 1,383.70

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Solution

The fourth proportional to 2,769.98, 4,151.50 and 1,383.70 is: 2,073.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.98 : 4,151.50 = 1,383.70 : x
  2. Step 2: Convert to fraction form
    2,769.98/4,151.50 = 1,383.70/x
  3. Step 3: Cross multiply
    2,769.98x = 4,151.50 × 1,383.70
  4. Step 4: Simplify right side
    2,769.98x = 5,744,424.50
  5. Step 5: Solve for x
    x = 5,744,424.50/2,769.98
  6. Step 6: Final answer
    x = 2,073.82

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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.