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Finding the Fourth Proportional to 11,847.15, 17,768.78 and 3,948.96

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Solution

The fourth proportional to 11,847.15, 17,768.78 and 3,948.96 is: 5,922.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.15 : 17,768.78 = 3,948.96 : x
  2. Step 2: Convert to fraction form
    11,847.15/17,768.78 = 3,948.96/x
  3. Step 3: Cross multiply
    11,847.15x = 17,768.78 × 3,948.96
  4. Step 4: Simplify right side
    11,847.15x = 70,168,263.17
  5. Step 5: Solve for x
    x = 70,168,263.17/11,847.15
  6. Step 6: Final answer
    x = 5,922.80

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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.