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Finding the Fourth Proportional to 6,311, 9,466.62 and 1,927.88

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Solution

The fourth proportional to 6,311, 9,466.62 and 1,927.88 is: 2,891.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311 : 9,466.62 = 1,927.88 : x
  2. Step 2: Convert to fraction form
    6,311/9,466.62 = 1,927.88/x
  3. Step 3: Cross multiply
    6,311x = 9,466.62 × 1,927.88
  4. Step 4: Simplify right side
    6,311x = 18,250,507.37
  5. Step 5: Solve for x
    x = 18,250,507.37/6,311
  6. Step 6: Final answer
    x = 2,891.86

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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.