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Finding the Fourth Proportional to 20,261.78, 27,961.02 and 11,311.49

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Solution

The fourth proportional to 20,261.78, 27,961.02 and 11,311.49 is: 15,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,261.78 : 27,961.02 = 11,311.49 : x
  2. Step 2: Convert to fraction form
    20,261.78/27,961.02 = 11,311.49/x
  3. Step 3: Cross multiply
    20,261.78x = 27,961.02 × 11,311.49
  4. Step 4: Simplify right side
    20,261.78x = 316,280,798.12
  5. Step 5: Solve for x
    x = 316,280,798.12/20,261.78
  6. Step 6: Final answer
    x = 15,609.72

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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.