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Finding the Fourth Proportional to 10,902.87, 16,340.31 and 7,933.82

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Solution

The fourth proportional to 10,902.87, 16,340.31 and 7,933.82 is: 11,890.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.87 : 16,340.31 = 7,933.82 : x
  2. Step 2: Convert to fraction form
    10,902.87/16,340.31 = 7,933.82/x
  3. Step 3: Cross multiply
    10,902.87x = 16,340.31 × 7,933.82
  4. Step 4: Simplify right side
    10,902.87x = 129,640,996.58
  5. Step 5: Solve for x
    x = 129,640,996.58/10,902.87
  6. Step 6: Final answer
    x = 11,890.54

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1.5x scale

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.