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Finding the Fourth Proportional to 2,650.92, 3,658.38 and 1,472

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Solution

The fourth proportional to 2,650.92, 3,658.38 and 1,472 is: 2,031.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.92 : 3,658.38 = 1,472 : x
  2. Step 2: Convert to fraction form
    2,650.92/3,658.38 = 1,472/x
  3. Step 3: Cross multiply
    2,650.92x = 3,658.38 × 1,472
  4. Step 4: Simplify right side
    2,650.92x = 5,385,135.36
  5. Step 5: Solve for x
    x = 5,385,135.36/2,650.92
  6. Step 6: Final answer
    x = 2,031.42

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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.