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Finding the Fourth Proportional to 3,151.72, 4,726.98 and 961

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Solution

The fourth proportional to 3,151.72, 4,726.98 and 961 is: 1,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.72 : 4,726.98 = 961 : x
  2. Step 2: Convert to fraction form
    3,151.72/4,726.98 = 961/x
  3. Step 3: Cross multiply
    3,151.72x = 4,726.98 × 961
  4. Step 4: Simplify right side
    3,151.72x = 4,542,627.78
  5. Step 5: Solve for x
    x = 4,542,627.78/3,151.72
  6. Step 6: Final answer
    x = 1,441.32

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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.