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Finding the Fourth Proportional to 2,478.92, 3,419.86 and 2,467.96

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Solution

The fourth proportional to 2,478.92, 3,419.86 and 2,467.96 is: 3,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.92 : 3,419.86 = 2,467.96 : x
  2. Step 2: Convert to fraction form
    2,478.92/3,419.86 = 2,467.96/x
  3. Step 3: Cross multiply
    2,478.92x = 3,419.86 × 2,467.96
  4. Step 4: Simplify right side
    2,478.92x = 8,440,077.69
  5. Step 5: Solve for x
    x = 8,440,077.69/2,478.92
  6. Step 6: Final answer
    x = 3,404.74

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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.