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Finding the Fourth Proportional to 10,905.65, 16,337.17 and 5,198.49

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Solution

The fourth proportional to 10,905.65, 16,337.17 and 5,198.49 is: 7,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,905.65 : 16,337.17 = 5,198.49 : x
  2. Step 2: Convert to fraction form
    10,905.65/16,337.17 = 5,198.49/x
  3. Step 3: Cross multiply
    10,905.65x = 16,337.17 × 5,198.49
  4. Step 4: Simplify right side
    10,905.65x = 84,928,614.87
  5. Step 5: Solve for x
    x = 84,928,614.87/10,905.65
  6. Step 6: Final answer
    x = 7,787.58

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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.