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Finding the Fourth Proportional to 21,305.82, 31,959 and 8,158.98

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Solution

The fourth proportional to 21,305.82, 31,959 and 8,158.98 is: 12,238.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.82 : 31,959 = 8,158.98 : x
  2. Step 2: Convert to fraction form
    21,305.82/31,959 = 8,158.98/x
  3. Step 3: Cross multiply
    21,305.82x = 31,959 × 8,158.98
  4. Step 4: Simplify right side
    21,305.82x = 260,752,841.82
  5. Step 5: Solve for x
    x = 260,752,841.82/21,305.82
  6. Step 6: Final answer
    x = 12,238.57

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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.