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Finding the Fourth Proportional to 2,731.78, 3,769.80 and 1,489.78

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Solution

The fourth proportional to 2,731.78, 3,769.80 and 1,489.78 is: 2,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.78 : 3,769.80 = 1,489.78 : x
  2. Step 2: Convert to fraction form
    2,731.78/3,769.80 = 1,489.78/x
  3. Step 3: Cross multiply
    2,731.78x = 3,769.80 × 1,489.78
  4. Step 4: Simplify right side
    2,731.78x = 5,616,172.64
  5. Step 5: Solve for x
    x = 5,616,172.64/2,731.78
  6. Step 6: Final answer
    x = 2,055.87

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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.