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Finding the Fourth Proportional to 27,478.36, 41,220.53 and 8,754

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Solution

The fourth proportional to 27,478.36, 41,220.53 and 8,754 is: 13,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,478.36 : 41,220.53 = 8,754 : x
  2. Step 2: Convert to fraction form
    27,478.36/41,220.53 = 8,754/x
  3. Step 3: Cross multiply
    27,478.36x = 41,220.53 × 8,754
  4. Step 4: Simplify right side
    27,478.36x = 360,844,519.62
  5. Step 5: Solve for x
    x = 360,844,519.62/27,478.36
  6. Step 6: Final answer
    x = 13,131.95

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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.