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Finding the Fourth Proportional to 18,467.82, 27,701.70 and 5,320.20

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Solution

The fourth proportional to 18,467.82, 27,701.70 and 5,320.20 is: 7,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,467.82 : 27,701.70 = 5,320.20 : x
  2. Step 2: Convert to fraction form
    18,467.82/27,701.70 = 5,320.20/x
  3. Step 3: Cross multiply
    18,467.82x = 27,701.70 × 5,320.20
  4. Step 4: Simplify right side
    18,467.82x = 147,378,584.34
  5. Step 5: Solve for x
    x = 147,378,584.34/18,467.82
  6. Step 6: Final answer
    x = 7,980.29

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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.