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Finding the Fourth Proportional to 18,387, 27,588.60 and 6,075

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Solution

The fourth proportional to 18,387, 27,588.60 and 6,075 is: 9,115.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,387 : 27,588.60 = 6,075 : x
  2. Step 2: Convert to fraction form
    18,387/27,588.60 = 6,075/x
  3. Step 3: Cross multiply
    18,387x = 27,588.60 × 6,075
  4. Step 4: Simplify right side
    18,387x = 167,600,745
  5. Step 5: Solve for x
    x = 167,600,745/18,387
  6. Step 6: Final answer
    x = 9,115.18

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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.