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Finding the Fourth Proportional to 3,885.67, 5,364.03 and 2,291.82

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Solution

The fourth proportional to 3,885.67, 5,364.03 and 2,291.82 is: 3,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.67 : 5,364.03 = 2,291.82 : x
  2. Step 2: Convert to fraction form
    3,885.67/5,364.03 = 2,291.82/x
  3. Step 3: Cross multiply
    3,885.67x = 5,364.03 × 2,291.82
  4. Step 4: Simplify right side
    3,885.67x = 12,293,391.23
  5. Step 5: Solve for x
    x = 12,293,391.23/3,885.67
  6. Step 6: Final answer
    x = 3,163.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.