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Finding the Fourth Proportional to 2,147.62, 2,963.46 and 1,203.46

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Solution

The fourth proportional to 2,147.62, 2,963.46 and 1,203.46 is: 1,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.62 : 2,963.46 = 1,203.46 : x
  2. Step 2: Convert to fraction form
    2,147.62/2,963.46 = 1,203.46/x
  3. Step 3: Cross multiply
    2,147.62x = 2,963.46 × 1,203.46
  4. Step 4: Simplify right side
    2,147.62x = 3,566,405.57
  5. Step 5: Solve for x
    x = 3,566,405.57/2,147.62
  6. Step 6: Final answer
    x = 1,660.63

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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.