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Finding the Fourth Proportional to 20,203, 27,880.26 and 11,371

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Solution

The fourth proportional to 20,203, 27,880.26 and 11,371 is: 15,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,203 : 27,880.26 = 11,371 : x
  2. Step 2: Convert to fraction form
    20,203/27,880.26 = 11,371/x
  3. Step 3: Cross multiply
    20,203x = 27,880.26 × 11,371
  4. Step 4: Simplify right side
    20,203x = 317,026,436.46
  5. Step 5: Solve for x
    x = 317,026,436.46/20,203
  6. Step 6: Final answer
    x = 15,692.05

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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.