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Finding the Fourth Proportional to 5,747.76, 8,616.17 and 3,661.91

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Solution

The fourth proportional to 5,747.76, 8,616.17 and 3,661.91 is: 5,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.76 : 8,616.17 = 3,661.91 : x
  2. Step 2: Convert to fraction form
    5,747.76/8,616.17 = 3,661.91/x
  3. Step 3: Cross multiply
    5,747.76x = 8,616.17 × 3,661.91
  4. Step 4: Simplify right side
    5,747.76x = 31,551,637.47
  5. Step 5: Solve for x
    x = 31,551,637.47/5,747.76
  6. Step 6: Final answer
    x = 5,489.38

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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.