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Finding the Fourth Proportional to 5,205.96, 7,801.56 and 3,906

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Solution

The fourth proportional to 5,205.96, 7,801.56 and 3,906 is: 5,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.96 : 7,801.56 = 3,906 : x
  2. Step 2: Convert to fraction form
    5,205.96/7,801.56 = 3,906/x
  3. Step 3: Cross multiply
    5,205.96x = 7,801.56 × 3,906
  4. Step 4: Simplify right side
    5,205.96x = 30,472,893.36
  5. Step 5: Solve for x
    x = 30,472,893.36/5,205.96
  6. Step 6: Final answer
    x = 5,853.46

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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.