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Finding the Fourth Proportional to 3,147.78, 4,721.36 and 956.53

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Solution

The fourth proportional to 3,147.78, 4,721.36 and 956.53 is: 1,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.78 : 4,721.36 = 956.53 : x
  2. Step 2: Convert to fraction form
    3,147.78/4,721.36 = 956.53/x
  3. Step 3: Cross multiply
    3,147.78x = 4,721.36 × 956.53
  4. Step 4: Simplify right side
    3,147.78x = 4,516,098.87
  5. Step 5: Solve for x
    x = 4,516,098.87/3,147.78
  6. Step 6: Final answer
    x = 1,434.69

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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.