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Finding the Fourth Proportional to 13,902.78, 20,847.78 and 5,575.80

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Solution

The fourth proportional to 13,902.78, 20,847.78 and 5,575.80 is: 8,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.78 : 20,847.78 = 5,575.80 : x
  2. Step 2: Convert to fraction form
    13,902.78/20,847.78 = 5,575.80/x
  3. Step 3: Cross multiply
    13,902.78x = 20,847.78 × 5,575.80
  4. Step 4: Simplify right side
    13,902.78x = 116,243,051.72
  5. Step 5: Solve for x
    x = 116,243,051.72/13,902.78
  6. Step 6: Final answer
    x = 8,361.14

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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.