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Finding the Fourth Proportional to 1,793.62, 2,478.62 and 1,350.75

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Solution

The fourth proportional to 1,793.62, 2,478.62 and 1,350.75 is: 1,866.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.62 : 2,478.62 = 1,350.75 : x
  2. Step 2: Convert to fraction form
    1,793.62/2,478.62 = 1,350.75/x
  3. Step 3: Cross multiply
    1,793.62x = 2,478.62 × 1,350.75
  4. Step 4: Simplify right side
    1,793.62x = 3,347,995.97
  5. Step 5: Solve for x
    x = 3,347,995.97/1,793.62
  6. Step 6: Final answer
    x = 1,866.61

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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.