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Finding the Fourth Proportional to 11,807.39, 17,711.06 and 8,098.37

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Solution

The fourth proportional to 11,807.39, 17,711.06 and 8,098.37 is: 12,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.39 : 17,711.06 = 8,098.37 : x
  2. Step 2: Convert to fraction form
    11,807.39/17,711.06 = 8,098.37/x
  3. Step 3: Cross multiply
    11,807.39x = 17,711.06 × 8,098.37
  4. Step 4: Simplify right side
    11,807.39x = 143,430,716.97
  5. Step 5: Solve for x
    x = 143,430,716.97/11,807.39
  6. Step 6: Final answer
    x = 12,147.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.