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Finding the Fourth Proportional to 12,285, 18,427.70 and 3,519.88

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Solution

The fourth proportional to 12,285, 18,427.70 and 3,519.88 is: 5,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,285 : 18,427.70 = 3,519.88 : x
  2. Step 2: Convert to fraction form
    12,285/18,427.70 = 3,519.88/x
  3. Step 3: Cross multiply
    12,285x = 18,427.70 × 3,519.88
  4. Step 4: Simplify right side
    12,285x = 64,863,292.68
  5. Step 5: Solve for x
    x = 64,863,292.68/12,285
  6. Step 6: Final answer
    x = 5,279.88

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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.