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Finding the Fourth Proportional to 3,273.20, 4,909.68 and 933.20

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Solution

The fourth proportional to 3,273.20, 4,909.68 and 933.20 is: 1,399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,273.20 : 4,909.68 = 933.20 : x
  2. Step 2: Convert to fraction form
    3,273.20/4,909.68 = 933.20/x
  3. Step 3: Cross multiply
    3,273.20x = 4,909.68 × 933.20
  4. Step 4: Simplify right side
    3,273.20x = 4,581,713.38
  5. Step 5: Solve for x
    x = 4,581,713.38/3,273.20
  6. Step 6: Final answer
    x = 1,399.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.