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Finding the Fourth Proportional to 18,538.65, 27,832.77 and 10,649.07

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Solution

The fourth proportional to 18,538.65, 27,832.77 and 10,649.07 is: 15,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.65 : 27,832.77 = 10,649.07 : x
  2. Step 2: Convert to fraction form
    18,538.65/27,832.77 = 10,649.07/x
  3. Step 3: Cross multiply
    18,538.65x = 27,832.77 × 10,649.07
  4. Step 4: Simplify right side
    18,538.65x = 296,393,116.02
  5. Step 5: Solve for x
    x = 296,393,116.02/18,538.65
  6. Step 6: Final answer
    x = 15,987.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.