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Finding the Fourth Proportional to 10,994.36, 15,174 and 8,180.42

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Solution

The fourth proportional to 10,994.36, 15,174 and 8,180.42 is: 11,290.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.36 : 15,174 = 8,180.42 : x
  2. Step 2: Convert to fraction form
    10,994.36/15,174 = 8,180.42/x
  3. Step 3: Cross multiply
    10,994.36x = 15,174 × 8,180.42
  4. Step 4: Simplify right side
    10,994.36x = 124,129,693.08
  5. Step 5: Solve for x
    x = 124,129,693.08/10,994.36
  6. Step 6: Final answer
    x = 11,290.31

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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.