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Finding the Fourth Proportional to 3,960.97, 5,950.71 and 3,407.40

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Solution

The fourth proportional to 3,960.97, 5,950.71 and 3,407.40 is: 5,119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.97 : 5,950.71 = 3,407.40 : x
  2. Step 2: Convert to fraction form
    3,960.97/5,950.71 = 3,407.40/x
  3. Step 3: Cross multiply
    3,960.97x = 5,950.71 × 3,407.40
  4. Step 4: Simplify right side
    3,960.97x = 20,276,449.25
  5. Step 5: Solve for x
    x = 20,276,449.25/3,960.97
  6. Step 6: Final answer
    x = 5,119.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.