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Finding the Fourth Proportional to 3,213.69, 4,820.54 and 905.19

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Solution

The fourth proportional to 3,213.69, 4,820.54 and 905.19 is: 1,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.69 : 4,820.54 = 905.19 : x
  2. Step 2: Convert to fraction form
    3,213.69/4,820.54 = 905.19/x
  3. Step 3: Cross multiply
    3,213.69x = 4,820.54 × 905.19
  4. Step 4: Simplify right side
    3,213.69x = 4,363,504.60
  5. Step 5: Solve for x
    x = 4,363,504.60/3,213.69
  6. Step 6: Final answer
    x = 1,357.79

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.