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Finding the Fourth Proportional to 2,630.64, 3,940 and 2,040.92

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Solution

The fourth proportional to 2,630.64, 3,940 and 2,040.92 is: 3,056.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,630.64 : 3,940 = 2,040.92 : x
  2. Step 2: Convert to fraction form
    2,630.64/3,940 = 2,040.92/x
  3. Step 3: Cross multiply
    2,630.64x = 3,940 × 2,040.92
  4. Step 4: Simplify right side
    2,630.64x = 8,041,224.80
  5. Step 5: Solve for x
    x = 8,041,224.80/2,630.64
  6. Step 6: Final answer
    x = 3,056.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.