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Finding the Fourth Proportional to 5,396, 8,083.64 and 3,309.92

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Solution

The fourth proportional to 5,396, 8,083.64 and 3,309.92 is: 4,958.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396 : 8,083.64 = 3,309.92 : x
  2. Step 2: Convert to fraction form
    5,396/8,083.64 = 3,309.92/x
  3. Step 3: Cross multiply
    5,396x = 8,083.64 × 3,309.92
  4. Step 4: Simplify right side
    5,396x = 26,756,201.71
  5. Step 5: Solve for x
    x = 26,756,201.71/5,396
  6. Step 6: Final answer
    x = 4,958.53

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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.