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Finding the Fourth Proportional to 18,250.08, 27,378 and 7,864.80

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Solution

The fourth proportional to 18,250.08, 27,378 and 7,864.80 is: 11,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,250.08 : 27,378 = 7,864.80 : x
  2. Step 2: Convert to fraction form
    18,250.08/27,378 = 7,864.80/x
  3. Step 3: Cross multiply
    18,250.08x = 27,378 × 7,864.80
  4. Step 4: Simplify right side
    18,250.08x = 215,322,494.40
  5. Step 5: Solve for x
    x = 215,322,494.40/18,250.08
  6. Step 6: Final answer
    x = 11,798.44

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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.