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Finding the Fourth Proportional to 3,025.74, 4,538.06 and 834

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Solution

The fourth proportional to 3,025.74, 4,538.06 and 834 is: 1,250.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,025.74 : 4,538.06 = 834 : x
  2. Step 2: Convert to fraction form
    3,025.74/4,538.06 = 834/x
  3. Step 3: Cross multiply
    3,025.74x = 4,538.06 × 834
  4. Step 4: Simplify right side
    3,025.74x = 3,784,742.04
  5. Step 5: Solve for x
    x = 3,784,742.04/3,025.74
  6. Step 6: Final answer
    x = 1,250.85

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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.