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Finding the Fourth Proportional to 3,143.06, 4,714.62 and 834.56

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Solution

The fourth proportional to 3,143.06, 4,714.62 and 834.56 is: 1,251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.06 : 4,714.62 = 834.56 : x
  2. Step 2: Convert to fraction form
    3,143.06/4,714.62 = 834.56/x
  3. Step 3: Cross multiply
    3,143.06x = 4,714.62 × 834.56
  4. Step 4: Simplify right side
    3,143.06x = 3,934,633.27
  5. Step 5: Solve for x
    x = 3,934,633.27/3,143.06
  6. Step 6: Final answer
    x = 1,251.85

Related Problems

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Double scale
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Similar ratio
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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.