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Finding the Fourth Proportional to 3,918.91, 5,870.13 and 3,181.00

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Solution

The fourth proportional to 3,918.91, 5,870.13 and 3,181.00 is: 4,764.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.91 : 5,870.13 = 3,181.00 : x
  2. Step 2: Convert to fraction form
    3,918.91/5,870.13 = 3,181.00/x
  3. Step 3: Cross multiply
    3,918.91x = 5,870.13 × 3,181.00
  4. Step 4: Simplify right side
    3,918.91x = 18,672,856.93
  5. Step 5: Solve for x
    x = 18,672,856.93/3,918.91
  6. Step 6: Final answer
    x = 4,764.81

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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.