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Finding the Fourth Proportional to 10,786.68, 16,168.50 and 7,699.32

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Solution

The fourth proportional to 10,786.68, 16,168.50 and 7,699.32 is: 11,540.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,786.68 : 16,168.50 = 7,699.32 : x
  2. Step 2: Convert to fraction form
    10,786.68/16,168.50 = 7,699.32/x
  3. Step 3: Cross multiply
    10,786.68x = 16,168.50 × 7,699.32
  4. Step 4: Simplify right side
    10,786.68x = 124,486,455.42
  5. Step 5: Solve for x
    x = 124,486,455.42/10,786.68
  6. Step 6: Final answer
    x = 11,540.76

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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.