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Finding the Fourth Proportional to 20,283.66, 27,991.44 and 11,331

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Solution

The fourth proportional to 20,283.66, 27,991.44 and 11,331 is: 15,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283.66 : 27,991.44 = 11,331 : x
  2. Step 2: Convert to fraction form
    20,283.66/27,991.44 = 11,331/x
  3. Step 3: Cross multiply
    20,283.66x = 27,991.44 × 11,331
  4. Step 4: Simplify right side
    20,283.66x = 317,171,006.64
  5. Step 5: Solve for x
    x = 317,171,006.64/20,283.66
  6. Step 6: Final answer
    x = 15,636.77

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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.