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Finding the Fourth Proportional to 27,866.31, 41,728.10 and 15,372.45

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Solution

The fourth proportional to 27,866.31, 41,728.10 and 15,372.45 is: 23,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866.31 : 41,728.10 = 15,372.45 : x
  2. Step 2: Convert to fraction form
    27,866.31/41,728.10 = 15,372.45/x
  3. Step 3: Cross multiply
    27,866.31x = 41,728.10 × 15,372.45
  4. Step 4: Simplify right side
    27,866.31x = 641,462,845.34
  5. Step 5: Solve for x
    x = 641,462,845.34/27,866.31
  6. Step 6: Final answer
    x = 23,019.30

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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.