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Finding the Fourth Proportional to 27,754.03, 41,631.45 and 12,961

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Solution

The fourth proportional to 27,754.03, 41,631.45 and 12,961 is: 19,441.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.03 : 41,631.45 = 12,961 : x
  2. Step 2: Convert to fraction form
    27,754.03/41,631.45 = 12,961/x
  3. Step 3: Cross multiply
    27,754.03x = 41,631.45 × 12,961
  4. Step 4: Simplify right side
    27,754.03x = 539,585,223.45
  5. Step 5: Solve for x
    x = 539,585,223.45/27,754.03
  6. Step 6: Final answer
    x = 19,441.69

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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.