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Finding the Fourth Proportional to 23,139, 31,936.14 and 13,203

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Solution

The fourth proportional to 23,139, 31,936.14 and 13,203 is: 18,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,139 : 31,936.14 = 13,203 : x
  2. Step 2: Convert to fraction form
    23,139/31,936.14 = 13,203/x
  3. Step 3: Cross multiply
    23,139x = 31,936.14 × 13,203
  4. Step 4: Simplify right side
    23,139x = 421,652,856.42
  5. Step 5: Solve for x
    x = 421,652,856.42/23,139
  6. Step 6: Final answer
    x = 18,222.60

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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.