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Finding the Fourth Proportional to 3,970.80, 5,480.20 and 2,399.76

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Solution

The fourth proportional to 3,970.80, 5,480.20 and 2,399.76 is: 3,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.80 : 5,480.20 = 2,399.76 : x
  2. Step 2: Convert to fraction form
    3,970.80/5,480.20 = 2,399.76/x
  3. Step 3: Cross multiply
    3,970.80x = 5,480.20 × 2,399.76
  4. Step 4: Simplify right side
    3,970.80x = 13,151,164.75
  5. Step 5: Solve for x
    x = 13,151,164.75/3,970.80
  6. Step 6: Final answer
    x = 3,311.97

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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.