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Finding the Fourth Proportional to 6,843.12, 9,441.72 and 4,047.36

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Solution

The fourth proportional to 6,843.12, 9,441.72 and 4,047.36 is: 5,584.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.12 : 9,441.72 = 4,047.36 : x
  2. Step 2: Convert to fraction form
    6,843.12/9,441.72 = 4,047.36/x
  3. Step 3: Cross multiply
    6,843.12x = 9,441.72 × 4,047.36
  4. Step 4: Simplify right side
    6,843.12x = 38,214,039.86
  5. Step 5: Solve for x
    x = 38,214,039.86/6,843.12
  6. Step 6: Final answer
    x = 5,584.30

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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.