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Finding the Fourth Proportional to 2,474.92, 3,414.12 and 1,678.30

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Solution

The fourth proportional to 2,474.92, 3,414.12 and 1,678.30 is: 2,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474.92 : 3,414.12 = 1,678.30 : x
  2. Step 2: Convert to fraction form
    2,474.92/3,414.12 = 1,678.30/x
  3. Step 3: Cross multiply
    2,474.92x = 3,414.12 × 1,678.30
  4. Step 4: Simplify right side
    2,474.92x = 5,729,917.60
  5. Step 5: Solve for x
    x = 5,729,917.60/2,474.92
  6. Step 6: Final answer
    x = 2,315.19

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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.