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Finding the Fourth Proportional to 3,151.81, 4,728.47 and 960.40

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Solution

The fourth proportional to 3,151.81, 4,728.47 and 960.40 is: 1,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.81 : 4,728.47 = 960.40 : x
  2. Step 2: Convert to fraction form
    3,151.81/4,728.47 = 960.40/x
  3. Step 3: Cross multiply
    3,151.81x = 4,728.47 × 960.40
  4. Step 4: Simplify right side
    3,151.81x = 4,541,226.40
  5. Step 5: Solve for x
    x = 4,541,226.40/3,151.81
  6. Step 6: Final answer
    x = 1,440.83

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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.