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Finding the Fourth Proportional to 20,032.16, 27,641.95 and 11,078.44

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Solution

The fourth proportional to 20,032.16, 27,641.95 and 11,078.44 is: 15,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.16 : 27,641.95 = 11,078.44 : x
  2. Step 2: Convert to fraction form
    20,032.16/27,641.95 = 11,078.44/x
  3. Step 3: Cross multiply
    20,032.16x = 27,641.95 × 11,078.44
  4. Step 4: Simplify right side
    20,032.16x = 306,229,587.76
  5. Step 5: Solve for x
    x = 306,229,587.76/20,032.16
  6. Step 6: Final answer
    x = 15,286.90

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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.