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Finding the Fourth Proportional to 20,164.18, 27,825 and 11,211.14

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Solution

The fourth proportional to 20,164.18, 27,825 and 11,211.14 is: 15,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.18 : 27,825 = 11,211.14 : x
  2. Step 2: Convert to fraction form
    20,164.18/27,825 = 11,211.14/x
  3. Step 3: Cross multiply
    20,164.18x = 27,825 × 11,211.14
  4. Step 4: Simplify right side
    20,164.18x = 311,949,970.50
  5. Step 5: Solve for x
    x = 311,949,970.50/20,164.18
  6. Step 6: Final answer
    x = 15,470.50

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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.