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Finding the Fourth Proportional to 27,761.09, 41,660.09 and 12,971.17

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Solution

The fourth proportional to 27,761.09, 41,660.09 and 12,971.17 is: 19,465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.09 : 41,660.09 = 12,971.17 : x
  2. Step 2: Convert to fraction form
    27,761.09/41,660.09 = 12,971.17/x
  3. Step 3: Cross multiply
    27,761.09x = 41,660.09 × 12,971.17
  4. Step 4: Simplify right side
    27,761.09x = 540,379,901.30
  5. Step 5: Solve for x
    x = 540,379,901.30/27,761.09
  6. Step 6: Final answer
    x = 19,465.37

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1.5x scale

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.