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Finding the Fourth Proportional to 3,151.43, 4,726.78 and 843.11

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Solution

The fourth proportional to 3,151.43, 4,726.78 and 843.11 is: 1,264.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.43 : 4,726.78 = 843.11 : x
  2. Step 2: Convert to fraction form
    3,151.43/4,726.78 = 843.11/x
  3. Step 3: Cross multiply
    3,151.43x = 4,726.78 × 843.11
  4. Step 4: Simplify right side
    3,151.43x = 3,985,195.49
  5. Step 5: Solve for x
    x = 3,985,195.49/3,151.43
  6. Step 6: Final answer
    x = 1,264.57

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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.