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Finding the Fourth Proportional to 12,638, 17,440.44 and 7,049

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Solution

The fourth proportional to 12,638, 17,440.44 and 7,049 is: 9,727.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638 : 17,440.44 = 7,049 : x
  2. Step 2: Convert to fraction form
    12,638/17,440.44 = 7,049/x
  3. Step 3: Cross multiply
    12,638x = 17,440.44 × 7,049
  4. Step 4: Simplify right side
    12,638x = 122,937,661.56
  5. Step 5: Solve for x
    x = 122,937,661.56/12,638
  6. Step 6: Final answer
    x = 9,727.62

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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.