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Finding the Fourth Proportional to 13,400.74, 20,114.22 and 11,193.70

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Solution

The fourth proportional to 13,400.74, 20,114.22 and 11,193.70 is: 16,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.74 : 20,114.22 = 11,193.70 : x
  2. Step 2: Convert to fraction form
    13,400.74/20,114.22 = 11,193.70/x
  3. Step 3: Cross multiply
    13,400.74x = 20,114.22 × 11,193.70
  4. Step 4: Simplify right side
    13,400.74x = 225,152,544.41
  5. Step 5: Solve for x
    x = 225,152,544.41/13,400.74
  6. Step 6: Final answer
    x = 16,801.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.