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Finding the Fourth Proportional to 2,976.92, 4,108.44 and 2,478.68

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Solution

The fourth proportional to 2,976.92, 4,108.44 and 2,478.68 is: 3,420.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.92 : 4,108.44 = 2,478.68 : x
  2. Step 2: Convert to fraction form
    2,976.92/4,108.44 = 2,478.68/x
  3. Step 3: Cross multiply
    2,976.92x = 4,108.44 × 2,478.68
  4. Step 4: Simplify right side
    2,976.92x = 10,183,508.06
  5. Step 5: Solve for x
    x = 10,183,508.06/2,976.92
  6. Step 6: Final answer
    x = 3,420.82

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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.