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Finding the Fourth Proportional to 1,600.86, 2,219.43 and 1,517.79

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Solution

The fourth proportional to 1,600.86, 2,219.43 and 1,517.79 is: 2,104.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.86 : 2,219.43 = 1,517.79 : x
  2. Step 2: Convert to fraction form
    1,600.86/2,219.43 = 1,517.79/x
  3. Step 3: Cross multiply
    1,600.86x = 2,219.43 × 1,517.79
  4. Step 4: Simplify right side
    1,600.86x = 3,368,628.66
  5. Step 5: Solve for x
    x = 3,368,628.66/1,600.86
  6. Step 6: Final answer
    x = 2,104.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.