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Finding the Fourth Proportional to 15,764.16, 21,754.41 and 8,690.61

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Solution

The fourth proportional to 15,764.16, 21,754.41 and 8,690.61 is: 11,992.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.16 : 21,754.41 = 8,690.61 : x
  2. Step 2: Convert to fraction form
    15,764.16/21,754.41 = 8,690.61/x
  3. Step 3: Cross multiply
    15,764.16x = 21,754.41 × 8,690.61
  4. Step 4: Simplify right side
    15,764.16x = 189,059,093.09
  5. Step 5: Solve for x
    x = 189,059,093.09/15,764.16
  6. Step 6: Final answer
    x = 11,992.97

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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.