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Finding the Fourth Proportional to 9,843.44, 13,572.12 and 8,044.28

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Solution

The fourth proportional to 9,843.44, 13,572.12 and 8,044.28 is: 11,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.44 : 13,572.12 = 8,044.28 : x
  2. Step 2: Convert to fraction form
    9,843.44/13,572.12 = 8,044.28/x
  3. Step 3: Cross multiply
    9,843.44x = 13,572.12 × 8,044.28
  4. Step 4: Simplify right side
    9,843.44x = 109,177,933.47
  5. Step 5: Solve for x
    x = 109,177,933.47/9,843.44
  6. Step 6: Final answer
    x = 11,091.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.