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Finding the Fourth Proportional to 2,169.42, 3,255.95 and 1,129.78

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Solution

The fourth proportional to 2,169.42, 3,255.95 and 1,129.78 is: 1,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,169.42 : 3,255.95 = 1,129.78 : x
  2. Step 2: Convert to fraction form
    2,169.42/3,255.95 = 1,129.78/x
  3. Step 3: Cross multiply
    2,169.42x = 3,255.95 × 1,129.78
  4. Step 4: Simplify right side
    2,169.42x = 3,678,507.73
  5. Step 5: Solve for x
    x = 3,678,507.73/2,169.42
  6. Step 6: Final answer
    x = 1,695.62

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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.