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Finding the Fourth Proportional to 15,906, 21,951.30 and 8,832.42

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Solution

The fourth proportional to 15,906, 21,951.30 and 8,832.42 is: 12,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906 : 21,951.30 = 8,832.42 : x
  2. Step 2: Convert to fraction form
    15,906/21,951.30 = 8,832.42/x
  3. Step 3: Cross multiply
    15,906x = 21,951.30 × 8,832.42
  4. Step 4: Simplify right side
    15,906x = 193,883,101.15
  5. Step 5: Solve for x
    x = 193,883,101.15/15,906
  6. Step 6: Final answer
    x = 12,189.31

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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.