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Finding the Fourth Proportional to 21,978.36, 32,969.10 and 7,946.70

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Solution

The fourth proportional to 21,978.36, 32,969.10 and 7,946.70 is: 11,920.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,978.36 : 32,969.10 = 7,946.70 : x
  2. Step 2: Convert to fraction form
    21,978.36/32,969.10 = 7,946.70/x
  3. Step 3: Cross multiply
    21,978.36x = 32,969.10 × 7,946.70
  4. Step 4: Simplify right side
    21,978.36x = 261,995,546.97
  5. Step 5: Solve for x
    x = 261,995,546.97/21,978.36
  6. Step 6: Final answer
    x = 11,920.61

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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.