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Finding the Fourth Proportional to 20,136.69, 27,787.69 and 11,184.74

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Solution

The fourth proportional to 20,136.69, 27,787.69 and 11,184.74 is: 15,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,136.69 : 27,787.69 = 11,184.74 : x
  2. Step 2: Convert to fraction form
    20,136.69/27,787.69 = 11,184.74/x
  3. Step 3: Cross multiply
    20,136.69x = 27,787.69 × 11,184.74
  4. Step 4: Simplify right side
    20,136.69x = 310,798,031.93
  5. Step 5: Solve for x
    x = 310,798,031.93/20,136.69
  6. Step 6: Final answer
    x = 15,434.42

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1.5x scale

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.