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Finding the Fourth Proportional to 1,963.76, 2,711.12 and 1,367.12

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Solution

The fourth proportional to 1,963.76, 2,711.12 and 1,367.12 is: 1,887.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,963.76 : 2,711.12 = 1,367.12 : x
  2. Step 2: Convert to fraction form
    1,963.76/2,711.12 = 1,367.12/x
  3. Step 3: Cross multiply
    1,963.76x = 2,711.12 × 1,367.12
  4. Step 4: Simplify right side
    1,963.76x = 3,706,426.37
  5. Step 5: Solve for x
    x = 3,706,426.37/1,963.76
  6. Step 6: Final answer
    x = 1,887.41

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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.