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Finding the Fourth Proportional to 20,141.56, 27,797.56 and 12,188.20

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Solution

The fourth proportional to 20,141.56, 27,797.56 and 12,188.20 is: 16,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.56 : 27,797.56 = 12,188.20 : x
  2. Step 2: Convert to fraction form
    20,141.56/27,797.56 = 12,188.20/x
  3. Step 3: Cross multiply
    20,141.56x = 27,797.56 × 12,188.20
  4. Step 4: Simplify right side
    20,141.56x = 338,802,220.79
  5. Step 5: Solve for x
    x = 338,802,220.79/20,141.56
  6. Step 6: Final answer
    x = 16,821.05

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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.