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Finding the Fourth Proportional to 2,974.92, 4,458.78 and 2,147.46

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Solution

The fourth proportional to 2,974.92, 4,458.78 and 2,147.46 is: 3,218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.92 : 4,458.78 = 2,147.46 : x
  2. Step 2: Convert to fraction form
    2,974.92/4,458.78 = 2,147.46/x
  3. Step 3: Cross multiply
    2,974.92x = 4,458.78 × 2,147.46
  4. Step 4: Simplify right side
    2,974.92x = 9,575,051.70
  5. Step 5: Solve for x
    x = 9,575,051.70/2,974.92
  6. Step 6: Final answer
    x = 3,218.59

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1.5x scale

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.