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Finding the Fourth Proportional to 3,143.20, 4,714.46 and 951.42

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Solution

The fourth proportional to 3,143.20, 4,714.46 and 951.42 is: 1,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.20 : 4,714.46 = 951.42 : x
  2. Step 2: Convert to fraction form
    3,143.20/4,714.46 = 951.42/x
  3. Step 3: Cross multiply
    3,143.20x = 4,714.46 × 951.42
  4. Step 4: Simplify right side
    3,143.20x = 4,485,431.53
  5. Step 5: Solve for x
    x = 4,485,431.53/3,143.20
  6. Step 6: Final answer
    x = 1,427.03

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1.5x scale

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.