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Finding the Fourth Proportional to 13,882.66, 19,157.88 and 7,914.44

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Solution

The fourth proportional to 13,882.66, 19,157.88 and 7,914.44 is: 10,921.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.66 : 19,157.88 = 7,914.44 : x
  2. Step 2: Convert to fraction form
    13,882.66/19,157.88 = 7,914.44/x
  3. Step 3: Cross multiply
    13,882.66x = 19,157.88 × 7,914.44
  4. Step 4: Simplify right side
    13,882.66x = 151,623,969.36
  5. Step 5: Solve for x
    x = 151,623,969.36/13,882.66
  6. Step 6: Final answer
    x = 10,921.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.