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Finding the Fourth Proportional to 22,124, 30,531.14 and 12,188

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Solution

The fourth proportional to 22,124, 30,531.14 and 12,188 is: 16,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,124 : 30,531.14 = 12,188 : x
  2. Step 2: Convert to fraction form
    22,124/30,531.14 = 12,188/x
  3. Step 3: Cross multiply
    22,124x = 30,531.14 × 12,188
  4. Step 4: Simplify right side
    22,124x = 372,113,534.32
  5. Step 5: Solve for x
    x = 372,113,534.32/22,124
  6. Step 6: Final answer
    x = 16,819.45

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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.