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Finding the Fourth Proportional to 19,529.38, 29,299.06 and 5,678.38

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Solution

The fourth proportional to 19,529.38, 29,299.06 and 5,678.38 is: 8,519.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,529.38 : 29,299.06 = 5,678.38 : x
  2. Step 2: Convert to fraction form
    19,529.38/29,299.06 = 5,678.38/x
  3. Step 3: Cross multiply
    19,529.38x = 29,299.06 × 5,678.38
  4. Step 4: Simplify right side
    19,529.38x = 166,371,049.83
  5. Step 5: Solve for x
    x = 166,371,049.83/19,529.38
  6. Step 6: Final answer
    x = 8,519.02

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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.