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Finding the Fourth Proportional to 12,802, 19,204.62 and 3,568

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Solution

The fourth proportional to 12,802, 19,204.62 and 3,568 is: 5,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802 : 19,204.62 = 3,568 : x
  2. Step 2: Convert to fraction form
    12,802/19,204.62 = 3,568/x
  3. Step 3: Cross multiply
    12,802x = 19,204.62 × 3,568
  4. Step 4: Simplify right side
    12,802x = 68,522,084.16
  5. Step 5: Solve for x
    x = 68,522,084.16/12,802
  6. Step 6: Final answer
    x = 5,352.45

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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.