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Finding the Fourth Proportional to 18,532.80, 27,801 and 5,384.88

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Solution

The fourth proportional to 18,532.80, 27,801 and 5,384.88 is: 8,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,532.80 : 27,801 = 5,384.88 : x
  2. Step 2: Convert to fraction form
    18,532.80/27,801 = 5,384.88/x
  3. Step 3: Cross multiply
    18,532.80x = 27,801 × 5,384.88
  4. Step 4: Simplify right side
    18,532.80x = 149,705,048.88
  5. Step 5: Solve for x
    x = 149,705,048.88/18,532.80
  6. Step 6: Final answer
    x = 8,077.84

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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.