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Finding the Fourth Proportional to 21,905.17, 32,872.34 and 8,054.17

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Solution

The fourth proportional to 21,905.17, 32,872.34 and 8,054.17 is: 12,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,905.17 : 32,872.34 = 8,054.17 : x
  2. Step 2: Convert to fraction form
    21,905.17/32,872.34 = 8,054.17/x
  3. Step 3: Cross multiply
    21,905.17x = 32,872.34 × 8,054.17
  4. Step 4: Simplify right side
    21,905.17x = 264,759,414.66
  5. Step 5: Solve for x
    x = 264,759,414.66/21,905.17
  6. Step 6: Final answer
    x = 12,086.62

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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.