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Finding the Fourth Proportional to 17,976.80, 26,954.40 and 9,228.80

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Solution

The fourth proportional to 17,976.80, 26,954.40 and 9,228.80 is: 13,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976.80 : 26,954.40 = 9,228.80 : x
  2. Step 2: Convert to fraction form
    17,976.80/26,954.40 = 9,228.80/x
  3. Step 3: Cross multiply
    17,976.80x = 26,954.40 × 9,228.80
  4. Step 4: Simplify right side
    17,976.80x = 248,756,766.72
  5. Step 5: Solve for x
    x = 248,756,766.72/17,976.80
  6. Step 6: Final answer
    x = 13,837.66

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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.