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Finding the Fourth Proportional to 5,872.67, 8,103.73 and 3,220.12

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Solution

The fourth proportional to 5,872.67, 8,103.73 and 3,220.12 is: 4,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.67 : 8,103.73 = 3,220.12 : x
  2. Step 2: Convert to fraction form
    5,872.67/8,103.73 = 3,220.12/x
  3. Step 3: Cross multiply
    5,872.67x = 8,103.73 × 3,220.12
  4. Step 4: Simplify right side
    5,872.67x = 26,094,926.43
  5. Step 5: Solve for x
    x = 26,094,926.43/5,872.67
  6. Step 6: Final answer
    x = 4,443.46

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