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Finding the Fourth Proportional to 2,711.61, 3,741.12 and 1,648.49

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Solution

The fourth proportional to 2,711.61, 3,741.12 and 1,648.49 is: 2,274.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711.61 : 3,741.12 = 1,648.49 : x
  2. Step 2: Convert to fraction form
    2,711.61/3,741.12 = 1,648.49/x
  3. Step 3: Cross multiply
    2,711.61x = 3,741.12 × 1,648.49
  4. Step 4: Simplify right side
    2,711.61x = 6,167,180.20
  5. Step 5: Solve for x
    x = 6,167,180.20/2,711.61
  6. Step 6: Final answer
    x = 2,274.36

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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.