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Finding the Fourth Proportional to 13,851.78, 20,753.04 and 7,928.42

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Solution

The fourth proportional to 13,851.78, 20,753.04 and 7,928.42 is: 11,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.78 : 20,753.04 = 7,928.42 : x
  2. Step 2: Convert to fraction form
    13,851.78/20,753.04 = 7,928.42/x
  3. Step 3: Cross multiply
    13,851.78x = 20,753.04 × 7,928.42
  4. Step 4: Simplify right side
    13,851.78x = 164,538,743.36
  5. Step 5: Solve for x
    x = 164,538,743.36/13,851.78
  6. Step 6: Final answer
    x = 11,878.53

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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.