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Finding the Fourth Proportional to 20,199.68, 27,868.16 and 12,236.16

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Solution

The fourth proportional to 20,199.68, 27,868.16 and 12,236.16 is: 16,881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.68 : 27,868.16 = 12,236.16 : x
  2. Step 2: Convert to fraction form
    20,199.68/27,868.16 = 12,236.16/x
  3. Step 3: Cross multiply
    20,199.68x = 27,868.16 × 12,236.16
  4. Step 4: Simplify right side
    20,199.68x = 340,999,264.67
  5. Step 5: Solve for x
    x = 340,999,264.67/20,199.68
  6. Step 6: Final answer
    x = 16,881.42

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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.