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Finding the Fourth Proportional to 10,830.38, 16,243.07 and 3,433.46

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Solution

The fourth proportional to 10,830.38, 16,243.07 and 3,433.46 is: 5,149.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.38 : 16,243.07 = 3,433.46 : x
  2. Step 2: Convert to fraction form
    10,830.38/16,243.07 = 3,433.46/x
  3. Step 3: Cross multiply
    10,830.38x = 16,243.07 × 3,433.46
  4. Step 4: Simplify right side
    10,830.38x = 55,769,832.74
  5. Step 5: Solve for x
    x = 55,769,832.74/10,830.38
  6. Step 6: Final answer
    x = 5,149.39

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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.