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Finding the Fourth Proportional to 12,097.14, 18,144 and 3,775.20

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Solution

The fourth proportional to 12,097.14, 18,144 and 3,775.20 is: 5,662.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.14 : 18,144 = 3,775.20 : x
  2. Step 2: Convert to fraction form
    12,097.14/18,144 = 3,775.20/x
  3. Step 3: Cross multiply
    12,097.14x = 18,144 × 3,775.20
  4. Step 4: Simplify right side
    12,097.14x = 68,497,228.80
  5. Step 5: Solve for x
    x = 68,497,228.80/12,097.14
  6. Step 6: Final answer
    x = 5,662.27

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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.