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Finding the Fourth Proportional to 21,083.92, 31,631.28 and 7,940.08

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Solution

The fourth proportional to 21,083.92, 31,631.28 and 7,940.08 is: 11,912.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.92 : 31,631.28 = 7,940.08 : x
  2. Step 2: Convert to fraction form
    21,083.92/31,631.28 = 7,940.08/x
  3. Step 3: Cross multiply
    21,083.92x = 31,631.28 × 7,940.08
  4. Step 4: Simplify right side
    21,083.92x = 251,154,893.70
  5. Step 5: Solve for x
    x = 251,154,893.70/21,083.92
  6. Step 6: Final answer
    x = 11,912.15

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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.