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Finding the Fourth Proportional to 2,135.57, 2,947.04 and 1,191.43

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Solution

The fourth proportional to 2,135.57, 2,947.04 and 1,191.43 is: 1,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.57 : 2,947.04 = 1,191.43 : x
  2. Step 2: Convert to fraction form
    2,135.57/2,947.04 = 1,191.43/x
  3. Step 3: Cross multiply
    2,135.57x = 2,947.04 × 1,191.43
  4. Step 4: Simplify right side
    2,135.57x = 3,511,177.13
  5. Step 5: Solve for x
    x = 3,511,177.13/2,135.57
  6. Step 6: Final answer
    x = 1,644.14

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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.