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Finding the Fourth Proportional to 3,640.61, 5,452.81 and 3,166.02

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Solution

The fourth proportional to 3,640.61, 5,452.81 and 3,166.02 is: 4,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.61 : 5,452.81 = 3,166.02 : x
  2. Step 2: Convert to fraction form
    3,640.61/5,452.81 = 3,166.02/x
  3. Step 3: Cross multiply
    3,640.61x = 5,452.81 × 3,166.02
  4. Step 4: Simplify right side
    3,640.61x = 17,263,697.60
  5. Step 5: Solve for x
    x = 17,263,697.60/3,640.61
  6. Step 6: Final answer
    x = 4,741.98

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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.