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Finding the Fourth Proportional to 3,648.38, 5,034.76 and 1,992.38

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Solution

The fourth proportional to 3,648.38, 5,034.76 and 1,992.38 is: 2,749.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.38 : 5,034.76 = 1,992.38 : x
  2. Step 2: Convert to fraction form
    3,648.38/5,034.76 = 1,992.38/x
  3. Step 3: Cross multiply
    3,648.38x = 5,034.76 × 1,992.38
  4. Step 4: Simplify right side
    3,648.38x = 10,031,124.97
  5. Step 5: Solve for x
    x = 10,031,124.97/3,648.38
  6. Step 6: Final answer
    x = 2,749.48

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1.5x scale

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.