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Finding the Fourth Proportional to 20,101.95, 27,737.11 and 12,138.84

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Solution

The fourth proportional to 20,101.95, 27,737.11 and 12,138.84 is: 16,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.95 : 27,737.11 = 12,138.84 : x
  2. Step 2: Convert to fraction form
    20,101.95/27,737.11 = 12,138.84/x
  3. Step 3: Cross multiply
    20,101.95x = 27,737.11 × 12,138.84
  4. Step 4: Simplify right side
    20,101.95x = 336,696,340.35
  5. Step 5: Solve for x
    x = 336,696,340.35/20,101.95
  6. Step 6: Final answer
    x = 16,749.44

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1.5x scale

Why These Related Problems?

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