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Finding the Fourth Proportional to 8,107.89, 12,138.14 and 7,329.68

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Solution

The fourth proportional to 8,107.89, 12,138.14 and 7,329.68 is: 10,973.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.89 : 12,138.14 = 7,329.68 : x
  2. Step 2: Convert to fraction form
    8,107.89/12,138.14 = 7,329.68/x
  3. Step 3: Cross multiply
    8,107.89x = 12,138.14 × 7,329.68
  4. Step 4: Simplify right side
    8,107.89x = 88,968,745.84
  5. Step 5: Solve for x
    x = 88,968,745.84/8,107.89
  6. Step 6: Final answer
    x = 10,973.11

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1.5x scale

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.