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Finding the Fourth Proportional to 15,932.14, 21,986 and 8,761.72

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Solution

The fourth proportional to 15,932.14, 21,986 and 8,761.72 is: 12,090.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,932.14 : 21,986 = 8,761.72 : x
  2. Step 2: Convert to fraction form
    15,932.14/21,986 = 8,761.72/x
  3. Step 3: Cross multiply
    15,932.14x = 21,986 × 8,761.72
  4. Step 4: Simplify right side
    15,932.14x = 192,635,175.92
  5. Step 5: Solve for x
    x = 192,635,175.92/15,932.14
  6. Step 6: Final answer
    x = 12,090.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.