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Finding the Fourth Proportional to 6,878.04, 9,491.62 and 3,893.82

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Solution

The fourth proportional to 6,878.04, 9,491.62 and 3,893.82 is: 5,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.04 : 9,491.62 = 3,893.82 : x
  2. Step 2: Convert to fraction form
    6,878.04/9,491.62 = 3,893.82/x
  3. Step 3: Cross multiply
    6,878.04x = 9,491.62 × 3,893.82
  4. Step 4: Simplify right side
    6,878.04x = 36,958,659.79
  5. Step 5: Solve for x
    x = 36,958,659.79/6,878.04
  6. Step 6: Final answer
    x = 5,373.43

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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.