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Finding the Fourth Proportional to 3,025.35, 4,538.18 and 834.25

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Solution

The fourth proportional to 3,025.35, 4,538.18 and 834.25 is: 1,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.35 : 4,538.18 = 834.25 : x
  2. Step 2: Convert to fraction form
    3,025.35/4,538.18 = 834.25/x
  3. Step 3: Cross multiply
    3,025.35x = 4,538.18 × 834.25
  4. Step 4: Simplify right side
    3,025.35x = 3,785,971.22
  5. Step 5: Solve for x
    x = 3,785,971.22/3,025.35
  6. Step 6: Final answer
    x = 1,251.42

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