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Finding the Fourth Proportional to 9,213.54, 12,703.32 and 7,794.78

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Solution

The fourth proportional to 9,213.54, 12,703.32 and 7,794.78 is: 10,747.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.54 : 12,703.32 = 7,794.78 : x
  2. Step 2: Convert to fraction form
    9,213.54/12,703.32 = 7,794.78/x
  3. Step 3: Cross multiply
    9,213.54x = 12,703.32 × 7,794.78
  4. Step 4: Simplify right side
    9,213.54x = 99,019,584.67
  5. Step 5: Solve for x
    x = 99,019,584.67/9,213.54
  6. Step 6: Final answer
    x = 10,747.18

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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.