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Finding the Fourth Proportional to 2,198.60, 3,034.07 and 1,203.88

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Solution

The fourth proportional to 2,198.60, 3,034.07 and 1,203.88 is: 1,661.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.60 : 3,034.07 = 1,203.88 : x
  2. Step 2: Convert to fraction form
    2,198.60/3,034.07 = 1,203.88/x
  3. Step 3: Cross multiply
    2,198.60x = 3,034.07 × 1,203.88
  4. Step 4: Simplify right side
    2,198.60x = 3,652,647.10
  5. Step 5: Solve for x
    x = 3,652,647.10/2,198.60
  6. Step 6: Final answer
    x = 1,661.35

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1.5x scale

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.