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Finding the Fourth Proportional to 22,257.76, 30,715.56 and 12,186

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Solution

The fourth proportional to 22,257.76, 30,715.56 and 12,186 is: 16,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,257.76 : 30,715.56 = 12,186 : x
  2. Step 2: Convert to fraction form
    22,257.76/30,715.56 = 12,186/x
  3. Step 3: Cross multiply
    22,257.76x = 30,715.56 × 12,186
  4. Step 4: Simplify right side
    22,257.76x = 374,299,814.16
  5. Step 5: Solve for x
    x = 374,299,814.16/22,257.76
  6. Step 6: Final answer
    x = 16,816.60

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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.