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Finding the Fourth Proportional to 2,129.97, 3,193.69 and 829.92

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Solution

The fourth proportional to 2,129.97, 3,193.69 and 829.92 is: 1,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.97 : 3,193.69 = 829.92 : x
  2. Step 2: Convert to fraction form
    2,129.97/3,193.69 = 829.92/x
  3. Step 3: Cross multiply
    2,129.97x = 3,193.69 × 829.92
  4. Step 4: Simplify right side
    2,129.97x = 2,650,489.16
  5. Step 5: Solve for x
    x = 2,650,489.16/2,129.97
  6. Step 6: Final answer
    x = 1,244.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.