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Finding the Fourth Proportional to 5,578.66, 8,369.61 and 3,401.38

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Solution

The fourth proportional to 5,578.66, 8,369.61 and 3,401.38 is: 5,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.66 : 8,369.61 = 3,401.38 : x
  2. Step 2: Convert to fraction form
    5,578.66/8,369.61 = 3,401.38/x
  3. Step 3: Cross multiply
    5,578.66x = 8,369.61 × 3,401.38
  4. Step 4: Simplify right side
    5,578.66x = 28,468,224.06
  5. Step 5: Solve for x
    x = 28,468,224.06/5,578.66
  6. Step 6: Final answer
    x = 5,103.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.