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Finding the Fourth Proportional to 19,538.62, 29,308.83 and 5,687.62

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Solution

The fourth proportional to 19,538.62, 29,308.83 and 5,687.62 is: 8,531.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,538.62 : 29,308.83 = 5,687.62 : x
  2. Step 2: Convert to fraction form
    19,538.62/29,308.83 = 5,687.62/x
  3. Step 3: Cross multiply
    19,538.62x = 29,308.83 × 5,687.62
  4. Step 4: Simplify right side
    19,538.62x = 166,697,487.68
  5. Step 5: Solve for x
    x = 166,697,487.68/19,538.62
  6. Step 6: Final answer
    x = 8,531.69

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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.