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Finding the Fourth Proportional to 1,382.90, 1,909.08 and 943.11

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Solution

The fourth proportional to 1,382.90, 1,909.08 and 943.11 is: 1,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.90 : 1,909.08 = 943.11 : x
  2. Step 2: Convert to fraction form
    1,382.90/1,909.08 = 943.11/x
  3. Step 3: Cross multiply
    1,382.90x = 1,909.08 × 943.11
  4. Step 4: Simplify right side
    1,382.90x = 1,800,472.44
  5. Step 5: Solve for x
    x = 1,800,472.44/1,382.90
  6. Step 6: Final answer
    x = 1,301.95

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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.