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Finding the Fourth Proportional to 5,872, 8,104.08 and 3,388

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Solution

The fourth proportional to 5,872, 8,104.08 and 3,388 is: 4,675.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872 : 8,104.08 = 3,388 : x
  2. Step 2: Convert to fraction form
    5,872/8,104.08 = 3,388/x
  3. Step 3: Cross multiply
    5,872x = 8,104.08 × 3,388
  4. Step 4: Simplify right side
    5,872x = 27,456,623.04
  5. Step 5: Solve for x
    x = 27,456,623.04/5,872
  6. Step 6: Final answer
    x = 4,675.86

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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.