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Finding the Fourth Proportional to 3,256.80, 4,489.20 and 3,213.60

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Solution

The fourth proportional to 3,256.80, 4,489.20 and 3,213.60 is: 4,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.80 : 4,489.20 = 3,213.60 : x
  2. Step 2: Convert to fraction form
    3,256.80/4,489.20 = 3,213.60/x
  3. Step 3: Cross multiply
    3,256.80x = 4,489.20 × 3,213.60
  4. Step 4: Simplify right side
    3,256.80x = 14,426,493.12
  5. Step 5: Solve for x
    x = 14,426,493.12/3,256.80
  6. Step 6: Final answer
    x = 4,429.65

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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.