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Finding the Fourth Proportional to 2,879.79, 3,974.05 and 1,760.74

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Solution

The fourth proportional to 2,879.79, 3,974.05 and 1,760.74 is: 2,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.79 : 3,974.05 = 1,760.74 : x
  2. Step 2: Convert to fraction form
    2,879.79/3,974.05 = 1,760.74/x
  3. Step 3: Cross multiply
    2,879.79x = 3,974.05 × 1,760.74
  4. Step 4: Simplify right side
    2,879.79x = 6,997,251.16
  5. Step 5: Solve for x
    x = 6,997,251.16/2,879.79
  6. Step 6: Final answer
    x = 2,429.78

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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.