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Finding the Fourth Proportional to 3,661.92, 5,485.59 and 3,405.96

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Solution

The fourth proportional to 3,661.92, 5,485.59 and 3,405.96 is: 5,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.92 : 5,485.59 = 3,405.96 : x
  2. Step 2: Convert to fraction form
    3,661.92/5,485.59 = 3,405.96/x
  3. Step 3: Cross multiply
    3,661.92x = 5,485.59 × 3,405.96
  4. Step 4: Simplify right side
    3,661.92x = 18,683,700.12
  5. Step 5: Solve for x
    x = 18,683,700.12/3,661.92
  6. Step 6: Final answer
    x = 5,102.16

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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.