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Finding the Fourth Proportional to 18,400.80, 27,593.82 and 7,875.84

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Solution

The fourth proportional to 18,400.80, 27,593.82 and 7,875.84 is: 11,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,400.80 : 27,593.82 = 7,875.84 : x
  2. Step 2: Convert to fraction form
    18,400.80/27,593.82 = 7,875.84/x
  3. Step 3: Cross multiply
    18,400.80x = 27,593.82 × 7,875.84
  4. Step 4: Simplify right side
    18,400.80x = 217,324,511.31
  5. Step 5: Solve for x
    x = 217,324,511.31/18,400.80
  6. Step 6: Final answer
    x = 11,810.60

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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.