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Finding the Fourth Proportional to 5,363.81, 8,039.50 and 3,174.38

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Solution

The fourth proportional to 5,363.81, 8,039.50 and 3,174.38 is: 4,757.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.81 : 8,039.50 = 3,174.38 : x
  2. Step 2: Convert to fraction form
    5,363.81/8,039.50 = 3,174.38/x
  3. Step 3: Cross multiply
    5,363.81x = 8,039.50 × 3,174.38
  4. Step 4: Simplify right side
    5,363.81x = 25,520,412.14
  5. Step 5: Solve for x
    x = 25,520,412.14/5,363.81
  6. Step 6: Final answer
    x = 4,757.89

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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.