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Finding the Fourth Proportional to 11,765.53, 16,230.73 and 7,789.97

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Solution

The fourth proportional to 11,765.53, 16,230.73 and 7,789.97 is: 10,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.53 : 16,230.73 = 7,789.97 : x
  2. Step 2: Convert to fraction form
    11,765.53/16,230.73 = 7,789.97/x
  3. Step 3: Cross multiply
    11,765.53x = 16,230.73 × 7,789.97
  4. Step 4: Simplify right side
    11,765.53x = 126,436,935.49
  5. Step 5: Solve for x
    x = 126,436,935.49/11,765.53
  6. Step 6: Final answer
    x = 10,746.39

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1.5x scale

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.