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Finding the Fourth Proportional to 3,143.21, 4,714.88 and 951.93

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Solution

The fourth proportional to 3,143.21, 4,714.88 and 951.93 is: 1,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.21 : 4,714.88 = 951.93 : x
  2. Step 2: Convert to fraction form
    3,143.21/4,714.88 = 951.93/x
  3. Step 3: Cross multiply
    3,143.21x = 4,714.88 × 951.93
  4. Step 4: Simplify right side
    3,143.21x = 4,488,230.96
  5. Step 5: Solve for x
    x = 4,488,230.96/3,143.21
  6. Step 6: Final answer
    x = 1,427.92

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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.