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Finding the Fourth Proportional to 3,213.54, 4,820.31 and 905.04

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Solution

The fourth proportional to 3,213.54, 4,820.31 and 905.04 is: 1,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.54 : 4,820.31 = 905.04 : x
  2. Step 2: Convert to fraction form
    3,213.54/4,820.31 = 905.04/x
  3. Step 3: Cross multiply
    3,213.54x = 4,820.31 × 905.04
  4. Step 4: Simplify right side
    3,213.54x = 4,362,573.36
  5. Step 5: Solve for x
    x = 4,362,573.36/3,213.54
  6. Step 6: Final answer
    x = 1,357.56

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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.