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Finding the Fourth Proportional to 1,338.32, 1,999.78 and 1,107.92

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Solution

The fourth proportional to 1,338.32, 1,999.78 and 1,107.92 is: 1,655.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.32 : 1,999.78 = 1,107.92 : x
  2. Step 2: Convert to fraction form
    1,338.32/1,999.78 = 1,107.92/x
  3. Step 3: Cross multiply
    1,338.32x = 1,999.78 × 1,107.92
  4. Step 4: Simplify right side
    1,338.32x = 2,215,596.26
  5. Step 5: Solve for x
    x = 2,215,596.26/1,338.32
  6. Step 6: Final answer
    x = 1,655.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.