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Finding the Fourth Proportional to 2,129.62, 3,194.58 and 742.78

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Solution

The fourth proportional to 2,129.62, 3,194.58 and 742.78 is: 1,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.62 : 3,194.58 = 742.78 : x
  2. Step 2: Convert to fraction form
    2,129.62/3,194.58 = 742.78/x
  3. Step 3: Cross multiply
    2,129.62x = 3,194.58 × 742.78
  4. Step 4: Simplify right side
    2,129.62x = 2,372,870.13
  5. Step 5: Solve for x
    x = 2,372,870.13/2,129.62
  6. Step 6: Final answer
    x = 1,114.22

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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.