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Finding the Fourth Proportional to 3,151.10, 4,727.16 and 959.65

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Solution

The fourth proportional to 3,151.10, 4,727.16 and 959.65 is: 1,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.10 : 4,727.16 = 959.65 : x
  2. Step 2: Convert to fraction form
    3,151.10/4,727.16 = 959.65/x
  3. Step 3: Cross multiply
    3,151.10x = 4,727.16 × 959.65
  4. Step 4: Simplify right side
    3,151.10x = 4,536,407.28
  5. Step 5: Solve for x
    x = 4,536,407.28/3,151.10
  6. Step 6: Final answer
    x = 1,439.63

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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.