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Finding the Fourth Proportional to 3,213.56, 4,820.52 and 905

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Solution

The fourth proportional to 3,213.56, 4,820.52 and 905 is: 1,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.56 : 4,820.52 = 905 : x
  2. Step 2: Convert to fraction form
    3,213.56/4,820.52 = 905/x
  3. Step 3: Cross multiply
    3,213.56x = 4,820.52 × 905
  4. Step 4: Simplify right side
    3,213.56x = 4,362,570.60
  5. Step 5: Solve for x
    x = 4,362,570.60/3,213.56
  6. Step 6: Final answer
    x = 1,357.55

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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.