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Finding the Fourth Proportional to 2,650.74, 3,658.08 and 1,471.78

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Solution

The fourth proportional to 2,650.74, 3,658.08 and 1,471.78 is: 2,031.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.74 : 3,658.08 = 1,471.78 : x
  2. Step 2: Convert to fraction form
    2,650.74/3,658.08 = 1,471.78/x
  3. Step 3: Cross multiply
    2,650.74x = 3,658.08 × 1,471.78
  4. Step 4: Simplify right side
    2,650.74x = 5,383,890.80
  5. Step 5: Solve for x
    x = 5,383,890.80/2,650.74
  6. Step 6: Final answer
    x = 2,031.09

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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.