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Finding the Fourth Proportional to 19,957.76, 29,944.32 and 8,269.44

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Solution

The fourth proportional to 19,957.76, 29,944.32 and 8,269.44 is: 12,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,957.76 : 29,944.32 = 8,269.44 : x
  2. Step 2: Convert to fraction form
    19,957.76/29,944.32 = 8,269.44/x
  3. Step 3: Cross multiply
    19,957.76x = 29,944.32 × 8,269.44
  4. Step 4: Simplify right side
    19,957.76x = 247,622,757.58
  5. Step 5: Solve for x
    x = 247,622,757.58/19,957.76
  6. Step 6: Final answer
    x = 12,407.34

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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.