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Finding the Fourth Proportional to 12,836.64, 19,254 and 7,638

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Solution

The fourth proportional to 12,836.64, 19,254 and 7,638 is: 11,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.64 : 19,254 = 7,638 : x
  2. Step 2: Convert to fraction form
    12,836.64/19,254 = 7,638/x
  3. Step 3: Cross multiply
    12,836.64x = 19,254 × 7,638
  4. Step 4: Simplify right side
    12,836.64x = 147,062,052
  5. Step 5: Solve for x
    x = 147,062,052/12,836.64
  6. Step 6: Final answer
    x = 11,456.43

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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.