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Finding the Fourth Proportional to 12,411, 17,127.24 and 6,822

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Solution

The fourth proportional to 12,411, 17,127.24 and 6,822 is: 9,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411 : 17,127.24 = 6,822 : x
  2. Step 2: Convert to fraction form
    12,411/17,127.24 = 6,822/x
  3. Step 3: Cross multiply
    12,411x = 17,127.24 × 6,822
  4. Step 4: Simplify right side
    12,411x = 116,842,031.28
  5. Step 5: Solve for x
    x = 116,842,031.28/12,411
  6. Step 6: Final answer
    x = 9,414.39

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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.