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Finding the Fourth Proportional to 5,636.64, 7,777.84 and 3,279.12

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Solution

The fourth proportional to 5,636.64, 7,777.84 and 3,279.12 is: 4,524.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.64 : 7,777.84 = 3,279.12 : x
  2. Step 2: Convert to fraction form
    5,636.64/7,777.84 = 3,279.12/x
  3. Step 3: Cross multiply
    5,636.64x = 7,777.84 × 3,279.12
  4. Step 4: Simplify right side
    5,636.64x = 25,504,470.70
  5. Step 5: Solve for x
    x = 25,504,470.70/5,636.64
  6. Step 6: Final answer
    x = 4,524.76

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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.