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Finding the Fourth Proportional to 5,381.89, 8,072.78 and 3,794.08

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Solution

The fourth proportional to 5,381.89, 8,072.78 and 3,794.08 is: 5,691.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.89 : 8,072.78 = 3,794.08 : x
  2. Step 2: Convert to fraction form
    5,381.89/8,072.78 = 3,794.08/x
  3. Step 3: Cross multiply
    5,381.89x = 8,072.78 × 3,794.08
  4. Step 4: Simplify right side
    5,381.89x = 30,628,713.81
  5. Step 5: Solve for x
    x = 30,628,713.81/5,381.89
  6. Step 6: Final answer
    x = 5,691.07

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1.5x scale

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.