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Finding the Fourth Proportional to 21,270.50, 31,906.02 and 7,419.50

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Solution

The fourth proportional to 21,270.50, 31,906.02 and 7,419.50 is: 11,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,270.50 : 31,906.02 = 7,419.50 : x
  2. Step 2: Convert to fraction form
    21,270.50/31,906.02 = 7,419.50/x
  3. Step 3: Cross multiply
    21,270.50x = 31,906.02 × 7,419.50
  4. Step 4: Simplify right side
    21,270.50x = 236,726,715.39
  5. Step 5: Solve for x
    x = 236,726,715.39/21,270.50
  6. Step 6: Final answer
    x = 11,129.34

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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.