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Finding the Fourth Proportional to 5,309.82, 7,948.76 and 3,640.41

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Solution

The fourth proportional to 5,309.82, 7,948.76 and 3,640.41 is: 5,449.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.82 : 7,948.76 = 3,640.41 : x
  2. Step 2: Convert to fraction form
    5,309.82/7,948.76 = 3,640.41/x
  3. Step 3: Cross multiply
    5,309.82x = 7,948.76 × 3,640.41
  4. Step 4: Simplify right side
    5,309.82x = 28,936,727.19
  5. Step 5: Solve for x
    x = 28,936,727.19/5,309.82
  6. Step 6: Final answer
    x = 5,449.66

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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.