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Finding the Fourth Proportional to 22,156, 30,577.44 and 12,220

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Solution

The fourth proportional to 22,156, 30,577.44 and 12,220 is: 16,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156 : 30,577.44 = 12,220 : x
  2. Step 2: Convert to fraction form
    22,156/30,577.44 = 12,220/x
  3. Step 3: Cross multiply
    22,156x = 30,577.44 × 12,220
  4. Step 4: Simplify right side
    22,156x = 373,656,316.80
  5. Step 5: Solve for x
    x = 373,656,316.80/22,156
  6. Step 6: Final answer
    x = 16,864.79

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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.