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Finding the Fourth Proportional to 7,847.40, 11,773.12 and 2,918.44

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Solution

The fourth proportional to 7,847.40, 11,773.12 and 2,918.44 is: 4,378.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.40 : 11,773.12 = 2,918.44 : x
  2. Step 2: Convert to fraction form
    7,847.40/11,773.12 = 2,918.44/x
  3. Step 3: Cross multiply
    7,847.40x = 11,773.12 × 2,918.44
  4. Step 4: Simplify right side
    7,847.40x = 34,359,144.33
  5. Step 5: Solve for x
    x = 34,359,144.33/7,847.40
  6. Step 6: Final answer
    x = 4,378.41

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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.