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Finding the Fourth Proportional to 20,824, 31,240.32 and 8,512

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Solution

The fourth proportional to 20,824, 31,240.32 and 8,512 is: 12,769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824 : 31,240.32 = 8,512 : x
  2. Step 2: Convert to fraction form
    20,824/31,240.32 = 8,512/x
  3. Step 3: Cross multiply
    20,824x = 31,240.32 × 8,512
  4. Step 4: Simplify right side
    20,824x = 265,917,603.84
  5. Step 5: Solve for x
    x = 265,917,603.84/20,824
  6. Step 6: Final answer
    x = 12,769.77

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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.