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Finding the Fourth Proportional to 9,383.68, 12,949.12 and 5,191.84

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Solution

The fourth proportional to 9,383.68, 12,949.12 and 5,191.84 is: 7,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.68 : 12,949.12 = 5,191.84 : x
  2. Step 2: Convert to fraction form
    9,383.68/12,949.12 = 5,191.84/x
  3. Step 3: Cross multiply
    9,383.68x = 12,949.12 × 5,191.84
  4. Step 4: Simplify right side
    9,383.68x = 67,229,759.18
  5. Step 5: Solve for x
    x = 67,229,759.18/9,383.68
  6. Step 6: Final answer
    x = 7,164.54

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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.