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Finding the Fourth Proportional to 18,537.86, 27,801.33 and 9,767.99

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Solution

The fourth proportional to 18,537.86, 27,801.33 and 9,767.99 is: 14,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,537.86 : 27,801.33 = 9,767.99 : x
  2. Step 2: Convert to fraction form
    18,537.86/27,801.33 = 9,767.99/x
  3. Step 3: Cross multiply
    18,537.86x = 27,801.33 × 9,767.99
  4. Step 4: Simplify right side
    18,537.86x = 271,563,146.30
  5. Step 5: Solve for x
    x = 271,563,146.30/18,537.86
  6. Step 6: Final answer
    x = 14,649.11

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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.