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Finding the Fourth Proportional to 20,113.50, 27,757.11 and 11,281.50

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Solution

The fourth proportional to 20,113.50, 27,757.11 and 11,281.50 is: 15,568.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,113.50 : 27,757.11 = 11,281.50 : x
  2. Step 2: Convert to fraction form
    20,113.50/27,757.11 = 11,281.50/x
  3. Step 3: Cross multiply
    20,113.50x = 27,757.11 × 11,281.50
  4. Step 4: Simplify right side
    20,113.50x = 313,141,836.47
  5. Step 5: Solve for x
    x = 313,141,836.47/20,113.50
  6. Step 6: Final answer
    x = 15,568.74

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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.