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Finding the Fourth Proportional to 9,824.62, 13,540.89 and 8,557.78

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Solution

The fourth proportional to 9,824.62, 13,540.89 and 8,557.78 is: 11,794.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.62 : 13,540.89 = 8,557.78 : x
  2. Step 2: Convert to fraction form
    9,824.62/13,540.89 = 8,557.78/x
  3. Step 3: Cross multiply
    9,824.62x = 13,540.89 × 8,557.78
  4. Step 4: Simplify right side
    9,824.62x = 115,879,957.62
  5. Step 5: Solve for x
    x = 115,879,957.62/9,824.62
  6. Step 6: Final answer
    x = 11,794.85

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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.