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Finding the Fourth Proportional to 3,151.57, 4,727.62 and 960.32

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Solution

The fourth proportional to 3,151.57, 4,727.62 and 960.32 is: 1,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.57 : 4,727.62 = 960.32 : x
  2. Step 2: Convert to fraction form
    3,151.57/4,727.62 = 960.32/x
  3. Step 3: Cross multiply
    3,151.57x = 4,727.62 × 960.32
  4. Step 4: Simplify right side
    3,151.57x = 4,540,028.04
  5. Step 5: Solve for x
    x = 4,540,028.04/3,151.57
  6. Step 6: Final answer
    x = 1,440.56

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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.