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Finding the Fourth Proportional to 22,156, 30,575.36 and 13,772.48

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Solution

The fourth proportional to 22,156, 30,575.36 and 13,772.48 is: 19,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156 : 30,575.36 = 13,772.48 : x
  2. Step 2: Convert to fraction form
    22,156/30,575.36 = 13,772.48/x
  3. Step 3: Cross multiply
    22,156x = 30,575.36 × 13,772.48
  4. Step 4: Simplify right side
    22,156x = 421,098,534.09
  5. Step 5: Solve for x
    x = 421,098,534.09/22,156
  6. Step 6: Final answer
    x = 19,006.07

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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.