Home / 2,129.89-3,194.61-743.25

Finding the Fourth Proportional to 2,129.89, 3,194.61 and 743.25

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Solution

The fourth proportional to 2,129.89, 3,194.61 and 743.25 is: 1,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.89 : 3,194.61 = 743.25 : x
  2. Step 2: Convert to fraction form
    2,129.89/3,194.61 = 743.25/x
  3. Step 3: Cross multiply
    2,129.89x = 3,194.61 × 743.25
  4. Step 4: Simplify right side
    2,129.89x = 2,374,397.46
  5. Step 5: Solve for x
    x = 2,374,397.46/2,129.89
  6. Step 6: Final answer
    x = 1,114.80

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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.