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Finding the Fourth Proportional to 8,078, 12,109.44 and 7,356.56

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Solution

The fourth proportional to 8,078, 12,109.44 and 7,356.56 is: 11,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078 : 12,109.44 = 7,356.56 : x
  2. Step 2: Convert to fraction form
    8,078/12,109.44 = 7,356.56/x
  3. Step 3: Cross multiply
    8,078x = 12,109.44 × 7,356.56
  4. Step 4: Simplify right side
    8,078x = 89,083,821.93
  5. Step 5: Solve for x
    x = 89,083,821.93/8,078
  6. Step 6: Final answer
    x = 11,027.96

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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.