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Finding the Fourth Proportional to 6,852.78, 9,456.98 and 3,868.44

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Solution

The fourth proportional to 6,852.78, 9,456.98 and 3,868.44 is: 5,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.78 : 9,456.98 = 3,868.44 : x
  2. Step 2: Convert to fraction form
    6,852.78/9,456.98 = 3,868.44/x
  3. Step 3: Cross multiply
    6,852.78x = 9,456.98 × 3,868.44
  4. Step 4: Simplify right side
    6,852.78x = 36,583,759.71
  5. Step 5: Solve for x
    x = 36,583,759.71/6,852.78
  6. Step 6: Final answer
    x = 5,338.53

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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.