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Finding the Fourth Proportional to 2,834.50, 4,250.72 and 985.12

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Solution

The fourth proportional to 2,834.50, 4,250.72 and 985.12 is: 1,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.50 : 4,250.72 = 985.12 : x
  2. Step 2: Convert to fraction form
    2,834.50/4,250.72 = 985.12/x
  3. Step 3: Cross multiply
    2,834.50x = 4,250.72 × 985.12
  4. Step 4: Simplify right side
    2,834.50x = 4,187,469.29
  5. Step 5: Solve for x
    x = 4,187,469.29/2,834.50
  6. Step 6: Final answer
    x = 1,477.32

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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.