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Finding the Fourth Proportional to 6,789, 9,368.82 and 3,845

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Solution

The fourth proportional to 6,789, 9,368.82 and 3,845 is: 5,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789 : 9,368.82 = 3,845 : x
  2. Step 2: Convert to fraction form
    6,789/9,368.82 = 3,845/x
  3. Step 3: Cross multiply
    6,789x = 9,368.82 × 3,845
  4. Step 4: Simplify right side
    6,789x = 36,023,112.90
  5. Step 5: Solve for x
    x = 36,023,112.90/6,789
  6. Step 6: Final answer
    x = 5,306.10

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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.