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Finding the Fourth Proportional to 6,878.44, 9,492.38 and 3,894.27

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Solution

The fourth proportional to 6,878.44, 9,492.38 and 3,894.27 is: 5,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.44 : 9,492.38 = 3,894.27 : x
  2. Step 2: Convert to fraction form
    6,878.44/9,492.38 = 3,894.27/x
  3. Step 3: Cross multiply
    6,878.44x = 9,492.38 × 3,894.27
  4. Step 4: Simplify right side
    6,878.44x = 36,965,890.66
  5. Step 5: Solve for x
    x = 36,965,890.66/6,878.44
  6. Step 6: Final answer
    x = 5,374.17

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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.