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Finding the Fourth Proportional to 20,714, 28,586.04 and 11,761.88

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Solution

The fourth proportional to 20,714, 28,586.04 and 11,761.88 is: 16,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714 : 28,586.04 = 11,761.88 : x
  2. Step 2: Convert to fraction form
    20,714/28,586.04 = 11,761.88/x
  3. Step 3: Cross multiply
    20,714x = 28,586.04 × 11,761.88
  4. Step 4: Simplify right side
    20,714x = 336,225,572.16
  5. Step 5: Solve for x
    x = 336,225,572.16/20,714
  6. Step 6: Final answer
    x = 16,231.80

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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.