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Finding the Fourth Proportional to 2,115.38, 3,173.70 and 654.64

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Solution

The fourth proportional to 2,115.38, 3,173.70 and 654.64 is: 982.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.38 : 3,173.70 = 654.64 : x
  2. Step 2: Convert to fraction form
    2,115.38/3,173.70 = 654.64/x
  3. Step 3: Cross multiply
    2,115.38x = 3,173.70 × 654.64
  4. Step 4: Simplify right side
    2,115.38x = 2,077,630.97
  5. Step 5: Solve for x
    x = 2,077,630.97/2,115.38
  6. Step 6: Final answer
    x = 982.15

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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.