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Finding the Fourth Proportional to 18,503.80, 27,753.02 and 6,814.36

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Solution

The fourth proportional to 18,503.80, 27,753.02 and 6,814.36 is: 10,220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,503.80 : 27,753.02 = 6,814.36 : x
  2. Step 2: Convert to fraction form
    18,503.80/27,753.02 = 6,814.36/x
  3. Step 3: Cross multiply
    18,503.80x = 27,753.02 × 6,814.36
  4. Step 4: Simplify right side
    18,503.80x = 189,119,069.37
  5. Step 5: Solve for x
    x = 189,119,069.37/18,503.80
  6. Step 6: Final answer
    x = 10,220.55

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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.