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Finding the Fourth Proportional to 21,292, 31,938.54 and 7,441

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Solution

The fourth proportional to 21,292, 31,938.54 and 7,441 is: 11,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,292 : 31,938.54 = 7,441 : x
  2. Step 2: Convert to fraction form
    21,292/31,938.54 = 7,441/x
  3. Step 3: Cross multiply
    21,292x = 31,938.54 × 7,441
  4. Step 4: Simplify right side
    21,292x = 237,654,676.14
  5. Step 5: Solve for x
    x = 237,654,676.14/21,292
  6. Step 6: Final answer
    x = 11,161.69

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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.