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Finding the Fourth Proportional to 27,608, 41,414.16 and 9,140

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Solution

The fourth proportional to 27,608, 41,414.16 and 9,140 is: 13,710.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,608 : 41,414.16 = 9,140 : x
  2. Step 2: Convert to fraction form
    27,608/41,414.16 = 9,140/x
  3. Step 3: Cross multiply
    27,608x = 41,414.16 × 9,140
  4. Step 4: Simplify right side
    27,608x = 378,525,422.40
  5. Step 5: Solve for x
    x = 378,525,422.40/27,608
  6. Step 6: Final answer
    x = 13,710.72

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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.