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Finding the Fourth Proportional to 21,180.64, 31,764.48 and 8,034.88

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Solution

The fourth proportional to 21,180.64, 31,764.48 and 8,034.88 is: 12,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,180.64 : 31,764.48 = 8,034.88 : x
  2. Step 2: Convert to fraction form
    21,180.64/31,764.48 = 8,034.88/x
  3. Step 3: Cross multiply
    21,180.64x = 31,764.48 × 8,034.88
  4. Step 4: Simplify right side
    21,180.64x = 255,223,785.06
  5. Step 5: Solve for x
    x = 255,223,785.06/21,180.64
  6. Step 6: Final answer
    x = 12,049.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.