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Finding the Fourth Proportional to 21,260.97, 31,892.97 and 6,469.80

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Solution

The fourth proportional to 21,260.97, 31,892.97 and 6,469.80 is: 9,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,260.97 : 31,892.97 = 6,469.80 : x
  2. Step 2: Convert to fraction form
    21,260.97/31,892.97 = 6,469.80/x
  3. Step 3: Cross multiply
    21,260.97x = 31,892.97 × 6,469.80
  4. Step 4: Simplify right side
    21,260.97x = 206,341,137.31
  5. Step 5: Solve for x
    x = 206,341,137.31/21,260.97
  6. Step 6: Final answer
    x = 9,705.16

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1.5x scale

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.