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Finding the Fourth Proportional to 1,382.94, 1,908.36 and 991.71

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Solution

The fourth proportional to 1,382.94, 1,908.36 and 991.71 is: 1,368.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.94 : 1,908.36 = 991.71 : x
  2. Step 2: Convert to fraction form
    1,382.94/1,908.36 = 991.71/x
  3. Step 3: Cross multiply
    1,382.94x = 1,908.36 × 991.71
  4. Step 4: Simplify right side
    1,382.94x = 1,892,539.70
  5. Step 5: Solve for x
    x = 1,892,539.70/1,382.94
  6. Step 6: Final answer
    x = 1,368.49

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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.