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Finding the Fourth Proportional to 9,813.41, 13,578.17 and 8,557.09

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Solution

The fourth proportional to 9,813.41, 13,578.17 and 8,557.09 is: 11,839.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.41 : 13,578.17 = 8,557.09 : x
  2. Step 2: Convert to fraction form
    9,813.41/13,578.17 = 8,557.09/x
  3. Step 3: Cross multiply
    9,813.41x = 13,578.17 × 8,557.09
  4. Step 4: Simplify right side
    9,813.41x = 116,189,622.73
  5. Step 5: Solve for x
    x = 116,189,622.73/9,813.41
  6. Step 6: Final answer
    x = 11,839.88

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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.