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Finding the Fourth Proportional to 3,911.89, 5,867.84 and 1,316.65

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Solution

The fourth proportional to 3,911.89, 5,867.84 and 1,316.65 is: 1,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.89 : 5,867.84 = 1,316.65 : x
  2. Step 2: Convert to fraction form
    3,911.89/5,867.84 = 1,316.65/x
  3. Step 3: Cross multiply
    3,911.89x = 5,867.84 × 1,316.65
  4. Step 4: Simplify right side
    3,911.89x = 7,725,891.54
  5. Step 5: Solve for x
    x = 7,725,891.54/3,911.89
  6. Step 6: Final answer
    x = 1,974.98

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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.