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Finding the Fourth Proportional to 21,295.92, 31,947.74 and 8,809.17

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Solution

The fourth proportional to 21,295.92, 31,947.74 and 8,809.17 is: 13,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,295.92 : 31,947.74 = 8,809.17 : x
  2. Step 2: Convert to fraction form
    21,295.92/31,947.74 = 8,809.17/x
  3. Step 3: Cross multiply
    21,295.92x = 31,947.74 × 8,809.17
  4. Step 4: Simplify right side
    21,295.92x = 281,433,028.73
  5. Step 5: Solve for x
    x = 281,433,028.73/21,295.92
  6. Step 6: Final answer
    x = 13,215.35

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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.