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Finding the Fourth Proportional to 3,203, 4,420.20 and 1,806.08

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Solution

The fourth proportional to 3,203, 4,420.20 and 1,806.08 is: 2,492.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203 : 4,420.20 = 1,806.08 : x
  2. Step 2: Convert to fraction form
    3,203/4,420.20 = 1,806.08/x
  3. Step 3: Cross multiply
    3,203x = 4,420.20 × 1,806.08
  4. Step 4: Simplify right side
    3,203x = 7,983,234.82
  5. Step 5: Solve for x
    x = 7,983,234.82/3,203
  6. Step 6: Final answer
    x = 2,492.42

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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.