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Finding the Fourth Proportional to 6,838.66, 9,436.31 and 3,854.44

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Solution

The fourth proportional to 6,838.66, 9,436.31 and 3,854.44 is: 5,318.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.66 : 9,436.31 = 3,854.44 : x
  2. Step 2: Convert to fraction form
    6,838.66/9,436.31 = 3,854.44/x
  3. Step 3: Cross multiply
    6,838.66x = 9,436.31 × 3,854.44
  4. Step 4: Simplify right side
    6,838.66x = 36,371,671.44
  5. Step 5: Solve for x
    x = 36,371,671.44/6,838.66
  6. Step 6: Final answer
    x = 5,318.54

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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.