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Finding the Fourth Proportional to 3,151.08, 4,726.78 and 959.88

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Solution

The fourth proportional to 3,151.08, 4,726.78 and 959.88 is: 1,439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.08 : 4,726.78 = 959.88 : x
  2. Step 2: Convert to fraction form
    3,151.08/4,726.78 = 959.88/x
  3. Step 3: Cross multiply
    3,151.08x = 4,726.78 × 959.88
  4. Step 4: Simplify right side
    3,151.08x = 4,537,141.59
  5. Step 5: Solve for x
    x = 4,537,141.59/3,151.08
  6. Step 6: Final answer
    x = 1,439.87

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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.