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Finding the Fourth Proportional to 3,147.42, 4,721.76 and 956.28

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Solution

The fourth proportional to 3,147.42, 4,721.76 and 956.28 is: 1,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.42 : 4,721.76 = 956.28 : x
  2. Step 2: Convert to fraction form
    3,147.42/4,721.76 = 956.28/x
  3. Step 3: Cross multiply
    3,147.42x = 4,721.76 × 956.28
  4. Step 4: Simplify right side
    3,147.42x = 4,515,324.65
  5. Step 5: Solve for x
    x = 4,515,324.65/3,147.42
  6. Step 6: Final answer
    x = 1,434.61

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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.