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Finding the Fourth Proportional to 9,310.32, 12,850.20 and 5,905.14

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Solution

The fourth proportional to 9,310.32, 12,850.20 and 5,905.14 is: 8,150.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.32 : 12,850.20 = 5,905.14 : x
  2. Step 2: Convert to fraction form
    9,310.32/12,850.20 = 5,905.14/x
  3. Step 3: Cross multiply
    9,310.32x = 12,850.20 × 5,905.14
  4. Step 4: Simplify right side
    9,310.32x = 75,882,230.03
  5. Step 5: Solve for x
    x = 75,882,230.03/9,310.32
  6. Step 6: Final answer
    x = 8,150.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.