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Finding the Fourth Proportional to 12,361, 17,058.24 and 6,772

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Solution

The fourth proportional to 12,361, 17,058.24 and 6,772 is: 9,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,361 : 17,058.24 = 6,772 : x
  2. Step 2: Convert to fraction form
    12,361/17,058.24 = 6,772/x
  3. Step 3: Cross multiply
    12,361x = 17,058.24 × 6,772
  4. Step 4: Simplify right side
    12,361x = 115,518,401.28
  5. Step 5: Solve for x
    x = 115,518,401.28/12,361
  6. Step 6: Final answer
    x = 9,345.39

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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.