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Finding the Fourth Proportional to 2,689.92, 4,031.85 and 1,369.97

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Solution

The fourth proportional to 2,689.92, 4,031.85 and 1,369.97 is: 2,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.92 : 4,031.85 = 1,369.97 : x
  2. Step 2: Convert to fraction form
    2,689.92/4,031.85 = 1,369.97/x
  3. Step 3: Cross multiply
    2,689.92x = 4,031.85 × 1,369.97
  4. Step 4: Simplify right side
    2,689.92x = 5,523,493.39
  5. Step 5: Solve for x
    x = 5,523,493.39/2,689.92
  6. Step 6: Final answer
    x = 2,053.40

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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.