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Finding the Fourth Proportional to 2,197.85, 3,033 and 1,203.12

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Solution

The fourth proportional to 2,197.85, 3,033 and 1,203.12 is: 1,660.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.85 : 3,033 = 1,203.12 : x
  2. Step 2: Convert to fraction form
    2,197.85/3,033 = 1,203.12/x
  3. Step 3: Cross multiply
    2,197.85x = 3,033 × 1,203.12
  4. Step 4: Simplify right side
    2,197.85x = 3,649,062.96
  5. Step 5: Solve for x
    x = 3,649,062.96/2,197.85
  6. Step 6: Final answer
    x = 1,660.29

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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.