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Finding the Fourth Proportional to 3,969.64, 5,471.79 and 3,128.98

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Solution

The fourth proportional to 3,969.64, 5,471.79 and 3,128.98 is: 4,313.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.64 : 5,471.79 = 3,128.98 : x
  2. Step 2: Convert to fraction form
    3,969.64/5,471.79 = 3,128.98/x
  3. Step 3: Cross multiply
    3,969.64x = 5,471.79 × 3,128.98
  4. Step 4: Simplify right side
    3,969.64x = 17,121,121.47
  5. Step 5: Solve for x
    x = 17,121,121.47/3,969.64
  6. Step 6: Final answer
    x = 4,313.02

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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.