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Finding the Fourth Proportional to 3,969.64, 5,446.49 and 3,871.72

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Solution

The fourth proportional to 3,969.64, 5,446.49 and 3,871.72 is: 5,312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.64 : 5,446.49 = 3,871.72 : x
  2. Step 2: Convert to fraction form
    3,969.64/5,446.49 = 3,871.72/x
  3. Step 3: Cross multiply
    3,969.64x = 5,446.49 × 3,871.72
  4. Step 4: Simplify right side
    3,969.64x = 21,087,284.26
  5. Step 5: Solve for x
    x = 21,087,284.26/3,969.64
  6. Step 6: Final answer
    x = 5,312.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.