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Finding the Fourth Proportional to 1,382.43, 1,906.62 and 1,116.81

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Solution

The fourth proportional to 1,382.43, 1,906.62 and 1,116.81 is: 1,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.43 : 1,906.62 = 1,116.81 : x
  2. Step 2: Convert to fraction form
    1,382.43/1,906.62 = 1,116.81/x
  3. Step 3: Cross multiply
    1,382.43x = 1,906.62 × 1,116.81
  4. Step 4: Simplify right side
    1,382.43x = 2,129,332.28
  5. Step 5: Solve for x
    x = 2,129,332.28/1,382.43
  6. Step 6: Final answer
    x = 1,540.28

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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.