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Finding the Fourth Proportional to 18,537.88, 27,805.20 and 6,851.20

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Solution

The fourth proportional to 18,537.88, 27,805.20 and 6,851.20 is: 10,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.88 : 27,805.20 = 6,851.20 : x
  2. Step 2: Convert to fraction form
    18,537.88/27,805.20 = 6,851.20/x
  3. Step 3: Cross multiply
    18,537.88x = 27,805.20 × 6,851.20
  4. Step 4: Simplify right side
    18,537.88x = 190,498,986.24
  5. Step 5: Solve for x
    x = 190,498,986.24/18,537.88
  6. Step 6: Final answer
    x = 10,276.20

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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.