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Finding the Fourth Proportional to 2,618.24, 3,927.60 and 863.25

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Solution

The fourth proportional to 2,618.24, 3,927.60 and 863.25 is: 1,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,618.24 : 3,927.60 = 863.25 : x
  2. Step 2: Convert to fraction form
    2,618.24/3,927.60 = 863.25/x
  3. Step 3: Cross multiply
    2,618.24x = 3,927.60 × 863.25
  4. Step 4: Simplify right side
    2,618.24x = 3,390,505.64
  5. Step 5: Solve for x
    x = 3,390,505.64/2,618.24
  6. Step 6: Final answer
    x = 1,294.96

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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.