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Finding the Fourth Proportional to 2,731.90, 3,770.02 and 1,489.90

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Solution

The fourth proportional to 2,731.90, 3,770.02 and 1,489.90 is: 2,056.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,731.90 : 3,770.02 = 1,489.90 : x
  2. Step 2: Convert to fraction form
    2,731.90/3,770.02 = 1,489.90/x
  3. Step 3: Cross multiply
    2,731.90x = 3,770.02 × 1,489.90
  4. Step 4: Simplify right side
    2,731.90x = 5,616,952.80
  5. Step 5: Solve for x
    x = 5,616,952.80/2,731.90
  6. Step 6: Final answer
    x = 2,056.06

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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.