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Finding the Fourth Proportional to 12,369, 18,556.38 and 4,161

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Solution

The fourth proportional to 12,369, 18,556.38 and 4,161 is: 6,242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369 : 18,556.38 = 4,161 : x
  2. Step 2: Convert to fraction form
    12,369/18,556.38 = 4,161/x
  3. Step 3: Cross multiply
    12,369x = 18,556.38 × 4,161
  4. Step 4: Simplify right side
    12,369x = 77,213,097.18
  5. Step 5: Solve for x
    x = 77,213,097.18/12,369
  6. Step 6: Final answer
    x = 6,242.47

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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.