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Finding the Fourth Proportional to 3,151.50, 4,727.45 and 960.39

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Solution

The fourth proportional to 3,151.50, 4,727.45 and 960.39 is: 1,440.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.50 : 4,727.45 = 960.39 : x
  2. Step 2: Convert to fraction form
    3,151.50/4,727.45 = 960.39/x
  3. Step 3: Cross multiply
    3,151.50x = 4,727.45 × 960.39
  4. Step 4: Simplify right side
    3,151.50x = 4,540,195.71
  5. Step 5: Solve for x
    x = 4,540,195.71/3,151.50
  6. Step 6: Final answer
    x = 1,440.65

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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.