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Finding the Fourth Proportional to 3,291.05, 4,936.47 and 825.90

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Solution

The fourth proportional to 3,291.05, 4,936.47 and 825.90 is: 1,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.05 : 4,936.47 = 825.90 : x
  2. Step 2: Convert to fraction form
    3,291.05/4,936.47 = 825.90/x
  3. Step 3: Cross multiply
    3,291.05x = 4,936.47 × 825.90
  4. Step 4: Simplify right side
    3,291.05x = 4,077,030.57
  5. Step 5: Solve for x
    x = 4,077,030.57/3,291.05
  6. Step 6: Final answer
    x = 1,238.82

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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.