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Finding the Fourth Proportional to 2,834.66, 4,251.42 and 985.86

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Solution

The fourth proportional to 2,834.66, 4,251.42 and 985.86 is: 1,478.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.66 : 4,251.42 = 985.86 : x
  2. Step 2: Convert to fraction form
    2,834.66/4,251.42 = 985.86/x
  3. Step 3: Cross multiply
    2,834.66x = 4,251.42 × 985.86
  4. Step 4: Simplify right side
    2,834.66x = 4,191,304.92
  5. Step 5: Solve for x
    x = 4,191,304.92/2,834.66
  6. Step 6: Final answer
    x = 1,478.59

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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.