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Finding the Fourth Proportional to 18,211.78, 27,317.76 and 5,731.30

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Solution

The fourth proportional to 18,211.78, 27,317.76 and 5,731.30 is: 8,596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,211.78 : 27,317.76 = 5,731.30 : x
  2. Step 2: Convert to fraction form
    18,211.78/27,317.76 = 5,731.30/x
  3. Step 3: Cross multiply
    18,211.78x = 27,317.76 × 5,731.30
  4. Step 4: Simplify right side
    18,211.78x = 156,566,277.89
  5. Step 5: Solve for x
    x = 156,566,277.89/18,211.78
  6. Step 6: Final answer
    x = 8,596.98

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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.