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Finding the Fourth Proportional to 3,221.58, 4,446 and 1,805.39

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Solution

The fourth proportional to 3,221.58, 4,446 and 1,805.39 is: 2,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.58 : 4,446 = 1,805.39 : x
  2. Step 2: Convert to fraction form
    3,221.58/4,446 = 1,805.39/x
  3. Step 3: Cross multiply
    3,221.58x = 4,446 × 1,805.39
  4. Step 4: Simplify right side
    3,221.58x = 8,026,741.71
  5. Step 5: Solve for x
    x = 8,026,741.71/3,221.58
  6. Step 6: Final answer
    x = 2,491.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.