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Finding the Fourth Proportional to 20,268, 27,967.08 and 11,768.76

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Solution

The fourth proportional to 20,268, 27,967.08 and 11,768.76 is: 16,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,268 : 27,967.08 = 11,768.76 : x
  2. Step 2: Convert to fraction form
    20,268/27,967.08 = 11,768.76/x
  3. Step 3: Cross multiply
    20,268x = 27,967.08 × 11,768.76
  4. Step 4: Simplify right side
    20,268x = 329,137,852.42
  5. Step 5: Solve for x
    x = 329,137,852.42/20,268
  6. Step 6: Final answer
    x = 16,239.29

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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.