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Finding the Fourth Proportional to 8,068.51, 12,107.50 and 3,388.16

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Solution

The fourth proportional to 8,068.51, 12,107.50 and 3,388.16 is: 5,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068.51 : 12,107.50 = 3,388.16 : x
  2. Step 2: Convert to fraction form
    8,068.51/12,107.50 = 3,388.16/x
  3. Step 3: Cross multiply
    8,068.51x = 12,107.50 × 3,388.16
  4. Step 4: Simplify right side
    8,068.51x = 41,022,147.20
  5. Step 5: Solve for x
    x = 41,022,147.20/8,068.51
  6. Step 6: Final answer
    x = 5,084.23

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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.