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Finding the Fourth Proportional to 18,412, 27,619.20 and 5,265.44

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Solution

The fourth proportional to 18,412, 27,619.20 and 5,265.44 is: 7,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,412 : 27,619.20 = 5,265.44 : x
  2. Step 2: Convert to fraction form
    18,412/27,619.20 = 5,265.44/x
  3. Step 3: Cross multiply
    18,412x = 27,619.20 × 5,265.44
  4. Step 4: Simplify right side
    18,412x = 145,427,240.45
  5. Step 5: Solve for x
    x = 145,427,240.45/18,412
  6. Step 6: Final answer
    x = 7,898.50

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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.