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Finding the Fourth Proportional to 5,091.68, 7,636.31 and 3,721.16

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Solution

The fourth proportional to 5,091.68, 7,636.31 and 3,721.16 is: 5,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.68 : 7,636.31 = 3,721.16 : x
  2. Step 2: Convert to fraction form
    5,091.68/7,636.31 = 3,721.16/x
  3. Step 3: Cross multiply
    5,091.68x = 7,636.31 × 3,721.16
  4. Step 4: Simplify right side
    5,091.68x = 28,415,912.71
  5. Step 5: Solve for x
    x = 28,415,912.71/5,091.68
  6. Step 6: Final answer
    x = 5,580.85

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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.