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Finding the Fourth Proportional to 12,194.31, 16,823.04 and 8,208.51

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Solution

The fourth proportional to 12,194.31, 16,823.04 and 8,208.51 is: 11,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.31 : 16,823.04 = 8,208.51 : x
  2. Step 2: Convert to fraction form
    12,194.31/16,823.04 = 8,208.51/x
  3. Step 3: Cross multiply
    12,194.31x = 16,823.04 × 8,208.51
  4. Step 4: Simplify right side
    12,194.31x = 138,092,092.07
  5. Step 5: Solve for x
    x = 138,092,092.07/12,194.31
  6. Step 6: Final answer
    x = 11,324.31

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1.5x scale

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.