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Finding the Fourth Proportional to 2,033.72, 3,049.10 and 646.60

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Solution

The fourth proportional to 2,033.72, 3,049.10 and 646.60 is: 969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033.72 : 3,049.10 = 646.60 : x
  2. Step 2: Convert to fraction form
    2,033.72/3,049.10 = 646.60/x
  3. Step 3: Cross multiply
    2,033.72x = 3,049.10 × 646.60
  4. Step 4: Simplify right side
    2,033.72x = 1,971,548.06
  5. Step 5: Solve for x
    x = 1,971,548.06/2,033.72
  6. Step 6: Final answer
    x = 969.43

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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.