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Finding the Fourth Proportional to 3,474.92, 4,790.38 and 2,478.46

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Solution

The fourth proportional to 3,474.92, 4,790.38 and 2,478.46 is: 3,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.92 : 4,790.38 = 2,478.46 : x
  2. Step 2: Convert to fraction form
    3,474.92/4,790.38 = 2,478.46/x
  3. Step 3: Cross multiply
    3,474.92x = 4,790.38 × 2,478.46
  4. Step 4: Simplify right side
    3,474.92x = 11,872,765.21
  5. Step 5: Solve for x
    x = 11,872,765.21/3,474.92
  6. Step 6: Final answer
    x = 3,416.70

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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.