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Finding the Fourth Proportional to 5,736.32, 7,910.40 and 3,641.60

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Solution

The fourth proportional to 5,736.32, 7,910.40 and 3,641.60 is: 5,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.32 : 7,910.40 = 3,641.60 : x
  2. Step 2: Convert to fraction form
    5,736.32/7,910.40 = 3,641.60/x
  3. Step 3: Cross multiply
    5,736.32x = 7,910.40 × 3,641.60
  4. Step 4: Simplify right side
    5,736.32x = 28,806,512.64
  5. Step 5: Solve for x
    x = 28,806,512.64/5,736.32
  6. Step 6: Final answer
    x = 5,021.78

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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.