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Finding the Fourth Proportional to 20,197.57, 27,874.16 and 11,701.98

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Solution

The fourth proportional to 20,197.57, 27,874.16 and 11,701.98 is: 16,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.57 : 27,874.16 = 11,701.98 : x
  2. Step 2: Convert to fraction form
    20,197.57/27,874.16 = 11,701.98/x
  3. Step 3: Cross multiply
    20,197.57x = 27,874.16 × 11,701.98
  4. Step 4: Simplify right side
    20,197.57x = 326,182,862.84
  5. Step 5: Solve for x
    x = 326,182,862.84/20,197.57
  6. Step 6: Final answer
    x = 16,149.61

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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.