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Finding the Fourth Proportional to 12,238.47, 18,362.03 and 7,553.03

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Solution

The fourth proportional to 12,238.47, 18,362.03 and 7,553.03 is: 11,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.47 : 18,362.03 = 7,553.03 : x
  2. Step 2: Convert to fraction form
    12,238.47/18,362.03 = 7,553.03/x
  3. Step 3: Cross multiply
    12,238.47x = 18,362.03 × 7,553.03
  4. Step 4: Simplify right side
    12,238.47x = 138,688,833.88
  5. Step 5: Solve for x
    x = 138,688,833.88/12,238.47
  6. Step 6: Final answer
    x = 11,332.20

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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.