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Finding the Fourth Proportional to 9,115.76, 13,671.22 and 3,850.84

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Solution

The fourth proportional to 9,115.76, 13,671.22 and 3,850.84 is: 5,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.76 : 13,671.22 = 3,850.84 : x
  2. Step 2: Convert to fraction form
    9,115.76/13,671.22 = 3,850.84/x
  3. Step 3: Cross multiply
    9,115.76x = 13,671.22 × 3,850.84
  4. Step 4: Simplify right side
    9,115.76x = 52,645,680.82
  5. Step 5: Solve for x
    x = 52,645,680.82/9,115.76
  6. Step 6: Final answer
    x = 5,775.24

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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.