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Finding the Fourth Proportional to 2,147.87, 2,963.88 and 1,263.53

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Solution

The fourth proportional to 2,147.87, 2,963.88 and 1,263.53 is: 1,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.87 : 2,963.88 = 1,263.53 : x
  2. Step 2: Convert to fraction form
    2,147.87/2,963.88 = 1,263.53/x
  3. Step 3: Cross multiply
    2,147.87x = 2,963.88 × 1,263.53
  4. Step 4: Simplify right side
    2,147.87x = 3,744,936.48
  5. Step 5: Solve for x
    x = 3,744,936.48/2,147.87
  6. Step 6: Final answer
    x = 1,743.56

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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.