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Finding the Fourth Proportional to 2,198.64, 3,034.10 and 1,203.92

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Solution

The fourth proportional to 2,198.64, 3,034.10 and 1,203.92 is: 1,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,198.64 : 3,034.10 = 1,203.92 : x
  2. Step 2: Convert to fraction form
    2,198.64/3,034.10 = 1,203.92/x
  3. Step 3: Cross multiply
    2,198.64x = 3,034.10 × 1,203.92
  4. Step 4: Simplify right side
    2,198.64x = 3,652,813.67
  5. Step 5: Solve for x
    x = 3,652,813.67/2,198.64
  6. Step 6: Final answer
    x = 1,661.40

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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.