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Finding the Fourth Proportional to 3,971.80, 5,481.90 and 2,400.76

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Solution

The fourth proportional to 3,971.80, 5,481.90 and 2,400.76 is: 3,313.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.80 : 5,481.90 = 2,400.76 : x
  2. Step 2: Convert to fraction form
    3,971.80/5,481.90 = 2,400.76/x
  3. Step 3: Cross multiply
    3,971.80x = 5,481.90 × 2,400.76
  4. Step 4: Simplify right side
    3,971.80x = 13,160,726.24
  5. Step 5: Solve for x
    x = 13,160,726.24/3,971.80
  6. Step 6: Final answer
    x = 3,313.54

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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.