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Finding the Fourth Proportional to 3,202.92, 4,421.50 and 2,259.48

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Solution

The fourth proportional to 3,202.92, 4,421.50 and 2,259.48 is: 3,119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,202.92 : 4,421.50 = 2,259.48 : x
  2. Step 2: Convert to fraction form
    3,202.92/4,421.50 = 2,259.48/x
  3. Step 3: Cross multiply
    3,202.92x = 4,421.50 × 2,259.48
  4. Step 4: Simplify right side
    3,202.92x = 9,990,290.82
  5. Step 5: Solve for x
    x = 9,990,290.82/3,202.92
  6. Step 6: Final answer
    x = 3,119.12

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