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Finding the Fourth Proportional to 3,143.22, 4,714.86 and 951.96

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Solution

The fourth proportional to 3,143.22, 4,714.86 and 951.96 is: 1,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.22 : 4,714.86 = 951.96 : x
  2. Step 2: Convert to fraction form
    3,143.22/4,714.86 = 951.96/x
  3. Step 3: Cross multiply
    3,143.22x = 4,714.86 × 951.96
  4. Step 4: Simplify right side
    3,143.22x = 4,488,358.13
  5. Step 5: Solve for x
    x = 4,488,358.13/3,143.22
  6. Step 6: Final answer
    x = 1,427.95

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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.