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Finding the Fourth Proportional to 3,221, 4,832.22 and 1,169

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Solution

The fourth proportional to 3,221, 4,832.22 and 1,169 is: 1,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221 : 4,832.22 = 1,169 : x
  2. Step 2: Convert to fraction form
    3,221/4,832.22 = 1,169/x
  3. Step 3: Cross multiply
    3,221x = 4,832.22 × 1,169
  4. Step 4: Simplify right side
    3,221x = 5,648,865.18
  5. Step 5: Solve for x
    x = 5,648,865.18/3,221
  6. Step 6: Final answer
    x = 1,753.76

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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.