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Finding the Fourth Proportional to 22,130.88, 30,540.96 and 12,194.88

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Solution

The fourth proportional to 22,130.88, 30,540.96 and 12,194.88 is: 16,829.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,130.88 : 30,540.96 = 12,194.88 : x
  2. Step 2: Convert to fraction form
    22,130.88/30,540.96 = 12,194.88/x
  3. Step 3: Cross multiply
    22,130.88x = 30,540.96 × 12,194.88
  4. Step 4: Simplify right side
    22,130.88x = 372,443,342.28
  5. Step 5: Solve for x
    x = 372,443,342.28/22,130.88
  6. Step 6: Final answer
    x = 16,829.12

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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.