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Finding the Fourth Proportional to 12,842, 19,266.24 and 3,608

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Solution

The fourth proportional to 12,842, 19,266.24 and 3,608 is: 5,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842 : 19,266.24 = 3,608 : x
  2. Step 2: Convert to fraction form
    12,842/19,266.24 = 3,608/x
  3. Step 3: Cross multiply
    12,842x = 19,266.24 × 3,608
  4. Step 4: Simplify right side
    12,842x = 69,512,593.92
  5. Step 5: Solve for x
    x = 69,512,593.92/12,842
  6. Step 6: Final answer
    x = 5,412.91

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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.