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Finding the Fourth Proportional to 3,905.64, 5,847.21 and 3,660.39

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Solution

The fourth proportional to 3,905.64, 5,847.21 and 3,660.39 is: 5,480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.64 : 5,847.21 = 3,660.39 : x
  2. Step 2: Convert to fraction form
    3,905.64/5,847.21 = 3,660.39/x
  3. Step 3: Cross multiply
    3,905.64x = 5,847.21 × 3,660.39
  4. Step 4: Simplify right side
    3,905.64x = 21,403,069.01
  5. Step 5: Solve for x
    x = 21,403,069.01/3,905.64
  6. Step 6: Final answer
    x = 5,480.04

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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.