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Finding the Fourth Proportional to 10,379, 15,568.64 and 3,453.50

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Solution

The fourth proportional to 10,379, 15,568.64 and 3,453.50 is: 5,180.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379 : 15,568.64 = 3,453.50 : x
  2. Step 2: Convert to fraction form
    10,379/15,568.64 = 3,453.50/x
  3. Step 3: Cross multiply
    10,379x = 15,568.64 × 3,453.50
  4. Step 4: Simplify right side
    10,379x = 53,766,280.97
  5. Step 5: Solve for x
    x = 53,766,280.97/10,379
  6. Step 6: Final answer
    x = 5,180.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.