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Finding the Fourth Proportional to 11,765.21, 17,653.86 and 7,819.20

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Solution

The fourth proportional to 11,765.21, 17,653.86 and 7,819.20 is: 11,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.21 : 17,653.86 = 7,819.20 : x
  2. Step 2: Convert to fraction form
    11,765.21/17,653.86 = 7,819.20/x
  3. Step 3: Cross multiply
    11,765.21x = 17,653.86 × 7,819.20
  4. Step 4: Simplify right side
    11,765.21x = 138,039,062.11
  5. Step 5: Solve for x
    x = 138,039,062.11/11,765.21
  6. Step 6: Final answer
    x = 11,732.82

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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.