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Finding the Fourth Proportional to 5,205.90, 7,801.56 and 3,905.85

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Solution

The fourth proportional to 5,205.90, 7,801.56 and 3,905.85 is: 5,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.90 : 7,801.56 = 3,905.85 : x
  2. Step 2: Convert to fraction form
    5,205.90/7,801.56 = 3,905.85/x
  3. Step 3: Cross multiply
    5,205.90x = 7,801.56 × 3,905.85
  4. Step 4: Simplify right side
    5,205.90x = 30,471,723.13
  5. Step 5: Solve for x
    x = 30,471,723.13/5,205.90
  6. Step 6: Final answer
    x = 5,853.31

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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.