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Finding the Fourth Proportional to 3,904.80, 5,389.84 and 3,213.60

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Solution

The fourth proportional to 3,904.80, 5,389.84 and 3,213.60 is: 4,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.80 : 5,389.84 = 3,213.60 : x
  2. Step 2: Convert to fraction form
    3,904.80/5,389.84 = 3,213.60/x
  3. Step 3: Cross multiply
    3,904.80x = 5,389.84 × 3,213.60
  4. Step 4: Simplify right side
    3,904.80x = 17,320,789.82
  5. Step 5: Solve for x
    x = 17,320,789.82/3,904.80
  6. Step 6: Final answer
    x = 4,435.77

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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.