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Finding the Fourth Proportional to 15,764.34, 21,754.96 and 8,691.02

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Solution

The fourth proportional to 15,764.34, 21,754.96 and 8,691.02 is: 11,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,764.34 : 21,754.96 = 8,691.02 : x
  2. Step 2: Convert to fraction form
    15,764.34/21,754.96 = 8,691.02/x
  3. Step 3: Cross multiply
    15,764.34x = 21,754.96 × 8,691.02
  4. Step 4: Simplify right side
    15,764.34x = 189,072,661.96
  5. Step 5: Solve for x
    x = 189,072,661.96/15,764.34
  6. Step 6: Final answer
    x = 11,993.69

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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.