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Finding the Fourth Proportional to 3,221.88, 4,833.42 and 1,490.50

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Solution

The fourth proportional to 3,221.88, 4,833.42 and 1,490.50 is: 2,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.88 : 4,833.42 = 1,490.50 : x
  2. Step 2: Convert to fraction form
    3,221.88/4,833.42 = 1,490.50/x
  3. Step 3: Cross multiply
    3,221.88x = 4,833.42 × 1,490.50
  4. Step 4: Simplify right side
    3,221.88x = 7,204,212.51
  5. Step 5: Solve for x
    x = 7,204,212.51/3,221.88
  6. Step 6: Final answer
    x = 2,236.03

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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.