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Finding the Fourth Proportional to 5,538, 8,307 and 2,252.88

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Solution

The fourth proportional to 5,538, 8,307 and 2,252.88 is: 3,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538 : 8,307 = 2,252.88 : x
  2. Step 2: Convert to fraction form
    5,538/8,307 = 2,252.88/x
  3. Step 3: Cross multiply
    5,538x = 8,307 × 2,252.88
  4. Step 4: Simplify right side
    5,538x = 18,714,674.16
  5. Step 5: Solve for x
    x = 18,714,674.16/5,538
  6. Step 6: Final answer
    x = 3,379.32

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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.