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Finding the Fourth Proportional to 3,726, 5,589 and 1,129.14

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Solution

The fourth proportional to 3,726, 5,589 and 1,129.14 is: 1,693.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726 : 5,589 = 1,129.14 : x
  2. Step 2: Convert to fraction form
    3,726/5,589 = 1,129.14/x
  3. Step 3: Cross multiply
    3,726x = 5,589 × 1,129.14
  4. Step 4: Simplify right side
    3,726x = 6,310,763.46
  5. Step 5: Solve for x
    x = 6,310,763.46/3,726
  6. Step 6: Final answer
    x = 1,693.71

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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.