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Finding the Fourth Proportional to 3,151.85, 4,727.97 and 960.39

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Solution

The fourth proportional to 3,151.85, 4,727.97 and 960.39 is: 1,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.85 : 4,727.97 = 960.39 : x
  2. Step 2: Convert to fraction form
    3,151.85/4,727.97 = 960.39/x
  3. Step 3: Cross multiply
    3,151.85x = 4,727.97 × 960.39
  4. Step 4: Simplify right side
    3,151.85x = 4,540,695.11
  5. Step 5: Solve for x
    x = 4,540,695.11/3,151.85
  6. Step 6: Final answer
    x = 1,440.65

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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.