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Finding the Fourth Proportional to 3,969.80, 5,478.07 and 2,201.29

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Solution

The fourth proportional to 3,969.80, 5,478.07 and 2,201.29 is: 3,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.80 : 5,478.07 = 2,201.29 : x
  2. Step 2: Convert to fraction form
    3,969.80/5,478.07 = 2,201.29/x
  3. Step 3: Cross multiply
    3,969.80x = 5,478.07 × 2,201.29
  4. Step 4: Simplify right side
    3,969.80x = 12,058,820.71
  5. Step 5: Solve for x
    x = 12,058,820.71/3,969.80
  6. Step 6: Final answer
    x = 3,037.64

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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.