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Finding the Fourth Proportional to 27,835.22, 38,414.04 and 15,899.88

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Solution

The fourth proportional to 27,835.22, 38,414.04 and 15,899.88 is: 21,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835.22 : 38,414.04 = 15,899.88 : x
  2. Step 2: Convert to fraction form
    27,835.22/38,414.04 = 15,899.88/x
  3. Step 3: Cross multiply
    27,835.22x = 38,414.04 × 15,899.88
  4. Step 4: Simplify right side
    27,835.22x = 610,778,626.32
  5. Step 5: Solve for x
    x = 610,778,626.32/27,835.22
  6. Step 6: Final answer
    x = 21,942.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.