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Finding the Fourth Proportional to 2,115.81, 3,174.12 and 654.75

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Solution

The fourth proportional to 2,115.81, 3,174.12 and 654.75 is: 982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.81 : 3,174.12 = 654.75 : x
  2. Step 2: Convert to fraction form
    2,115.81/3,174.12 = 654.75/x
  3. Step 3: Cross multiply
    2,115.81x = 3,174.12 × 654.75
  4. Step 4: Simplify right side
    2,115.81x = 2,078,255.07
  5. Step 5: Solve for x
    x = 2,078,255.07/2,115.81
  6. Step 6: Final answer
    x = 982.25

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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.