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Finding the Fourth Proportional to 3,840.60, 5,294.07 and 3,213.21

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Solution

The fourth proportional to 3,840.60, 5,294.07 and 3,213.21 is: 4,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.60 : 5,294.07 = 3,213.21 : x
  2. Step 2: Convert to fraction form
    3,840.60/5,294.07 = 3,213.21/x
  3. Step 3: Cross multiply
    3,840.60x = 5,294.07 × 3,213.21
  4. Step 4: Simplify right side
    3,840.60x = 17,010,958.66
  5. Step 5: Solve for x
    x = 17,010,958.66/3,840.60
  6. Step 6: Final answer
    x = 4,429.25

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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.