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Finding the Fourth Proportional to 12,687.52, 19,019.76 and 7,204

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Solution

The fourth proportional to 12,687.52, 19,019.76 and 7,204 is: 10,799.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,687.52 : 19,019.76 = 7,204 : x
  2. Step 2: Convert to fraction form
    12,687.52/19,019.76 = 7,204/x
  3. Step 3: Cross multiply
    12,687.52x = 19,019.76 × 7,204
  4. Step 4: Simplify right side
    12,687.52x = 137,018,351.04
  5. Step 5: Solve for x
    x = 137,018,351.04/12,687.52
  6. Step 6: Final answer
    x = 10,799.46

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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.