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Finding the Fourth Proportional to 10,568.38, 15,821 and 6,395.78

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Solution

The fourth proportional to 10,568.38, 15,821 and 6,395.78 is: 9,574.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,568.38 : 15,821 = 6,395.78 : x
  2. Step 2: Convert to fraction form
    10,568.38/15,821 = 6,395.78/x
  3. Step 3: Cross multiply
    10,568.38x = 15,821 × 6,395.78
  4. Step 4: Simplify right side
    10,568.38x = 101,187,635.38
  5. Step 5: Solve for x
    x = 101,187,635.38/10,568.38
  6. Step 6: Final answer
    x = 9,574.56

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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.