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Finding the Fourth Proportional to 8,107.11, 12,156.50 and 3,720.75

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Solution

The fourth proportional to 8,107.11, 12,156.50 and 3,720.75 is: 5,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.11 : 12,156.50 = 3,720.75 : x
  2. Step 2: Convert to fraction form
    8,107.11/12,156.50 = 3,720.75/x
  3. Step 3: Cross multiply
    8,107.11x = 12,156.50 × 3,720.75
  4. Step 4: Simplify right side
    8,107.11x = 45,231,278.77
  5. Step 5: Solve for x
    x = 45,231,278.77/8,107.11
  6. Step 6: Final answer
    x = 5,579.21

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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.