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Finding the Fourth Proportional to 2,578.53, 3,867.93 and 997.25

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Solution

The fourth proportional to 2,578.53, 3,867.93 and 997.25 is: 1,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.53 : 3,867.93 = 997.25 : x
  2. Step 2: Convert to fraction form
    2,578.53/3,867.93 = 997.25/x
  3. Step 3: Cross multiply
    2,578.53x = 3,867.93 × 997.25
  4. Step 4: Simplify right side
    2,578.53x = 3,857,286.60
  5. Step 5: Solve for x
    x = 3,857,286.60/2,578.53
  6. Step 6: Final answer
    x = 1,495.92

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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.