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Finding the Fourth Proportional to 3,191.67, 4,775.48 and 2,867.94

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Solution

The fourth proportional to 3,191.67, 4,775.48 and 2,867.94 is: 4,291.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,191.67 : 4,775.48 = 2,867.94 : x
  2. Step 2: Convert to fraction form
    3,191.67/4,775.48 = 2,867.94/x
  3. Step 3: Cross multiply
    3,191.67x = 4,775.48 × 2,867.94
  4. Step 4: Simplify right side
    3,191.67x = 13,695,775.77
  5. Step 5: Solve for x
    x = 13,695,775.77/3,191.67
  6. Step 6: Final answer
    x = 4,291.10

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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.