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Finding the Fourth Proportional to 3,866.15, 5,788.84 and 3,181.09

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Solution

The fourth proportional to 3,866.15, 5,788.84 and 3,181.09 is: 4,763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.15 : 5,788.84 = 3,181.09 : x
  2. Step 2: Convert to fraction form
    3,866.15/5,788.84 = 3,181.09/x
  3. Step 3: Cross multiply
    3,866.15x = 5,788.84 × 3,181.09
  4. Step 4: Simplify right side
    3,866.15x = 18,414,776.19
  5. Step 5: Solve for x
    x = 18,414,776.19/3,866.15
  6. Step 6: Final answer
    x = 4,763.08

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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.