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Finding the Fourth Proportional to 20,264.45, 27,964.04 and 11,311.74

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Solution

The fourth proportional to 20,264.45, 27,964.04 and 11,311.74 is: 15,609.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,264.45 : 27,964.04 = 11,311.74 : x
  2. Step 2: Convert to fraction form
    20,264.45/27,964.04 = 11,311.74/x
  3. Step 3: Cross multiply
    20,264.45x = 27,964.04 × 11,311.74
  4. Step 4: Simplify right side
    20,264.45x = 316,321,893.27
  5. Step 5: Solve for x
    x = 316,321,893.27/20,264.45
  6. Step 6: Final answer
    x = 15,609.70

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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.