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Finding the Fourth Proportional to 6,872.69, 9,481.20 and 4,219.13

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Solution

The fourth proportional to 6,872.69, 9,481.20 and 4,219.13 is: 5,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.69 : 9,481.20 = 4,219.13 : x
  2. Step 2: Convert to fraction form
    6,872.69/9,481.20 = 4,219.13/x
  3. Step 3: Cross multiply
    6,872.69x = 9,481.20 × 4,219.13
  4. Step 4: Simplify right side
    6,872.69x = 40,002,415.36
  5. Step 5: Solve for x
    x = 40,002,415.36/6,872.69
  6. Step 6: Final answer
    x = 5,820.49

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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.