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Finding the Fourth Proportional to 3,660.92, 5,490.27 and 3,076.10

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Solution

The fourth proportional to 3,660.92, 5,490.27 and 3,076.10 is: 4,613.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.92 : 5,490.27 = 3,076.10 : x
  2. Step 2: Convert to fraction form
    3,660.92/5,490.27 = 3,076.10/x
  3. Step 3: Cross multiply
    3,660.92x = 5,490.27 × 3,076.10
  4. Step 4: Simplify right side
    3,660.92x = 16,888,619.55
  5. Step 5: Solve for x
    x = 16,888,619.55/3,660.92
  6. Step 6: Final answer
    x = 4,613.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.