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Finding the Fourth Proportional to 3,221.24, 4,837.32 and 1,763.24

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Solution

The fourth proportional to 3,221.24, 4,837.32 and 1,763.24 is: 2,647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.24 : 4,837.32 = 1,763.24 : x
  2. Step 2: Convert to fraction form
    3,221.24/4,837.32 = 1,763.24/x
  3. Step 3: Cross multiply
    3,221.24x = 4,837.32 × 1,763.24
  4. Step 4: Simplify right side
    3,221.24x = 8,529,356.12
  5. Step 5: Solve for x
    x = 8,529,356.12/3,221.24
  6. Step 6: Final answer
    x = 2,647.85

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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.