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Finding the Fourth Proportional to 22,465.20, 33,697.78 and 6,880.80

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Solution

The fourth proportional to 22,465.20, 33,697.78 and 6,880.80 is: 10,321.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,465.20 : 33,697.78 = 6,880.80 : x
  2. Step 2: Convert to fraction form
    22,465.20/33,697.78 = 6,880.80/x
  3. Step 3: Cross multiply
    22,465.20x = 33,697.78 × 6,880.80
  4. Step 4: Simplify right side
    22,465.20x = 231,867,684.62
  5. Step 5: Solve for x
    x = 231,867,684.62/22,465.20
  6. Step 6: Final answer
    x = 10,321.19

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1.5x scale

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.