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Finding the Fourth Proportional to 5,508, 8,262 and 5,231.16

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Solution

The fourth proportional to 5,508, 8,262 and 5,231.16 is: 7,846.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,508 : 8,262 = 5,231.16 : x
  2. Step 2: Convert to fraction form
    5,508/8,262 = 5,231.16/x
  3. Step 3: Cross multiply
    5,508x = 8,262 × 5,231.16
  4. Step 4: Simplify right side
    5,508x = 43,219,843.92
  5. Step 5: Solve for x
    x = 43,219,843.92/5,508
  6. Step 6: Final answer
    x = 7,846.74

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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.