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Finding the Fourth Proportional to 3,142.68, 4,713.66 and 834.36

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Solution

The fourth proportional to 3,142.68, 4,713.66 and 834.36 is: 1,251.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.68 : 4,713.66 = 834.36 : x
  2. Step 2: Convert to fraction form
    3,142.68/4,713.66 = 834.36/x
  3. Step 3: Cross multiply
    3,142.68x = 4,713.66 × 834.36
  4. Step 4: Simplify right side
    3,142.68x = 3,932,889.36
  5. Step 5: Solve for x
    x = 3,932,889.36/3,142.68
  6. Step 6: Final answer
    x = 1,251.44

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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.