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Finding the Fourth Proportional to 11,872.56, 17,820.40 and 5,720.88

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Solution

The fourth proportional to 11,872.56, 17,820.40 and 5,720.88 is: 8,586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.56 : 17,820.40 = 5,720.88 : x
  2. Step 2: Convert to fraction form
    11,872.56/17,820.40 = 5,720.88/x
  3. Step 3: Cross multiply
    11,872.56x = 17,820.40 × 5,720.88
  4. Step 4: Simplify right side
    11,872.56x = 101,948,369.95
  5. Step 5: Solve for x
    x = 101,948,369.95/11,872.56
  6. Step 6: Final answer
    x = 8,586.89

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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.