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Finding the Fourth Proportional to 20,136, 27,787.68 and 11,304

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Solution

The fourth proportional to 20,136, 27,787.68 and 11,304 is: 15,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136 : 27,787.68 = 11,304 : x
  2. Step 2: Convert to fraction form
    20,136/27,787.68 = 11,304/x
  3. Step 3: Cross multiply
    20,136x = 27,787.68 × 11,304
  4. Step 4: Simplify right side
    20,136x = 314,111,934.72
  5. Step 5: Solve for x
    x = 314,111,934.72/20,136
  6. Step 6: Final answer
    x = 15,599.52

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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.