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Finding the Fourth Proportional to 1,386.13, 1,909.97 and 943.27

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Solution

The fourth proportional to 1,386.13, 1,909.97 and 943.27 is: 1,299.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.13 : 1,909.97 = 943.27 : x
  2. Step 2: Convert to fraction form
    1,386.13/1,909.97 = 943.27/x
  3. Step 3: Cross multiply
    1,386.13x = 1,909.97 × 943.27
  4. Step 4: Simplify right side
    1,386.13x = 1,801,617.40
  5. Step 5: Solve for x
    x = 1,801,617.40/1,386.13
  6. Step 6: Final answer
    x = 1,299.75

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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.