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Finding the Fourth Proportional to 20,049, 27,664.16 and 12,880.50

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Solution

The fourth proportional to 20,049, 27,664.16 and 12,880.50 is: 17,772.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049 : 27,664.16 = 12,880.50 : x
  2. Step 2: Convert to fraction form
    20,049/27,664.16 = 12,880.50/x
  3. Step 3: Cross multiply
    20,049x = 27,664.16 × 12,880.50
  4. Step 4: Simplify right side
    20,049x = 356,328,212.88
  5. Step 5: Solve for x
    x = 356,328,212.88/20,049
  6. Step 6: Final answer
    x = 17,772.87

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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.