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Finding the Fourth Proportional to 1,382.42, 1,908.14 and 1,104.59

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Solution

The fourth proportional to 1,382.42, 1,908.14 and 1,104.59 is: 1,524.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.42 : 1,908.14 = 1,104.59 : x
  2. Step 2: Convert to fraction form
    1,382.42/1,908.14 = 1,104.59/x
  3. Step 3: Cross multiply
    1,382.42x = 1,908.14 × 1,104.59
  4. Step 4: Simplify right side
    1,382.42x = 2,107,712.36
  5. Step 5: Solve for x
    x = 2,107,712.36/1,382.42
  6. Step 6: Final answer
    x = 1,524.65

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