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Finding the Fourth Proportional to 2,478.42, 3,716.70 and 834.52

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Solution

The fourth proportional to 2,478.42, 3,716.70 and 834.52 is: 1,251.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.42 : 3,716.70 = 834.52 : x
  2. Step 2: Convert to fraction form
    2,478.42/3,716.70 = 834.52/x
  3. Step 3: Cross multiply
    2,478.42x = 3,716.70 × 834.52
  4. Step 4: Simplify right side
    2,478.42x = 3,101,660.48
  5. Step 5: Solve for x
    x = 3,101,660.48/2,478.42
  6. Step 6: Final answer
    x = 1,251.47

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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.