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Finding the Fourth Proportional to 3,867.62, 5,334.09 and 3,167.78

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Solution

The fourth proportional to 3,867.62, 5,334.09 and 3,167.78 is: 4,368.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.62 : 5,334.09 = 3,167.78 : x
  2. Step 2: Convert to fraction form
    3,867.62/5,334.09 = 3,167.78/x
  3. Step 3: Cross multiply
    3,867.62x = 5,334.09 × 3,167.78
  4. Step 4: Simplify right side
    3,867.62x = 16,897,223.62
  5. Step 5: Solve for x
    x = 16,897,223.62/3,867.62
  6. Step 6: Final answer
    x = 4,368.89

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1.5x scale

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.