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Finding the Fourth Proportional to 9,212.64, 13,809.60 and 3,364.80

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Solution

The fourth proportional to 9,212.64, 13,809.60 and 3,364.80 is: 5,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.64 : 13,809.60 = 3,364.80 : x
  2. Step 2: Convert to fraction form
    9,212.64/13,809.60 = 3,364.80/x
  3. Step 3: Cross multiply
    9,212.64x = 13,809.60 × 3,364.80
  4. Step 4: Simplify right side
    9,212.64x = 46,466,542.08
  5. Step 5: Solve for x
    x = 46,466,542.08/9,212.64
  6. Step 6: Final answer
    x = 5,043.78

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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.