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Finding the Fourth Proportional to 27,321.78, 40,948.11 and 13,285.02

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Solution

The fourth proportional to 27,321.78, 40,948.11 and 13,285.02 is: 19,910.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,321.78 : 40,948.11 = 13,285.02 : x
  2. Step 2: Convert to fraction form
    27,321.78/40,948.11 = 13,285.02/x
  3. Step 3: Cross multiply
    27,321.78x = 40,948.11 × 13,285.02
  4. Step 4: Simplify right side
    27,321.78x = 543,996,460.31
  5. Step 5: Solve for x
    x = 543,996,460.31/27,321.78
  6. Step 6: Final answer
    x = 19,910.73

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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.