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Finding the Fourth Proportional to 1,375.50, 1,898.19 and 851.97

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Solution

The fourth proportional to 1,375.50, 1,898.19 and 851.97 is: 1,175.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.50 : 1,898.19 = 851.97 : x
  2. Step 2: Convert to fraction form
    1,375.50/1,898.19 = 851.97/x
  3. Step 3: Cross multiply
    1,375.50x = 1,898.19 × 851.97
  4. Step 4: Simplify right side
    1,375.50x = 1,617,200.93
  5. Step 5: Solve for x
    x = 1,617,200.93/1,375.50
  6. Step 6: Final answer
    x = 1,175.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.