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Finding the Fourth Proportional to 12,442, 18,663.36 and 3,208

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Solution

The fourth proportional to 12,442, 18,663.36 and 3,208 is: 4,812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,442 : 18,663.36 = 3,208 : x
  2. Step 2: Convert to fraction form
    12,442/18,663.36 = 3,208/x
  3. Step 3: Cross multiply
    12,442x = 18,663.36 × 3,208
  4. Step 4: Simplify right side
    12,442x = 59,872,058.88
  5. Step 5: Solve for x
    x = 59,872,058.88/12,442
  6. Step 6: Final answer
    x = 4,812.09

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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.