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Finding the Fourth Proportional to 11,873.54, 17,803.10 and 8,171.69

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Solution

The fourth proportional to 11,873.54, 17,803.10 and 8,171.69 is: 12,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.54 : 17,803.10 = 8,171.69 : x
  2. Step 2: Convert to fraction form
    11,873.54/17,803.10 = 8,171.69/x
  3. Step 3: Cross multiply
    11,873.54x = 17,803.10 × 8,171.69
  4. Step 4: Simplify right side
    11,873.54x = 145,481,284.37
  5. Step 5: Solve for x
    x = 145,481,284.37/11,873.54
  6. Step 6: Final answer
    x = 12,252.57

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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.