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Finding the Fourth Proportional to 18,823.68, 28,242.44 and 7,727.37

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Solution

The fourth proportional to 18,823.68, 28,242.44 and 7,727.37 is: 11,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823.68 : 28,242.44 = 7,727.37 : x
  2. Step 2: Convert to fraction form
    18,823.68/28,242.44 = 7,727.37/x
  3. Step 3: Cross multiply
    18,823.68x = 28,242.44 × 7,727.37
  4. Step 4: Simplify right side
    18,823.68x = 218,239,744.95
  5. Step 5: Solve for x
    x = 218,239,744.95/18,823.68
  6. Step 6: Final answer
    x = 11,593.89

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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.