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Finding the Fourth Proportional to 3,213.91, 4,820.86 and 905.41

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Solution

The fourth proportional to 3,213.91, 4,820.86 and 905.41 is: 1,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.91 : 4,820.86 = 905.41 : x
  2. Step 2: Convert to fraction form
    3,213.91/4,820.86 = 905.41/x
  3. Step 3: Cross multiply
    3,213.91x = 4,820.86 × 905.41
  4. Step 4: Simplify right side
    3,213.91x = 4,364,854.85
  5. Step 5: Solve for x
    x = 4,364,854.85/3,213.91
  6. Step 6: Final answer
    x = 1,358.11

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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.