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Finding the Fourth Proportional to 6,809.19, 9,396.67 and 3,978.51

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Solution

The fourth proportional to 6,809.19, 9,396.67 and 3,978.51 is: 5,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.19 : 9,396.67 = 3,978.51 : x
  2. Step 2: Convert to fraction form
    6,809.19/9,396.67 = 3,978.51/x
  3. Step 3: Cross multiply
    6,809.19x = 9,396.67 × 3,978.51
  4. Step 4: Simplify right side
    6,809.19x = 37,384,745.56
  5. Step 5: Solve for x
    x = 37,384,745.56/6,809.19
  6. Step 6: Final answer
    x = 5,490.34

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Half scale
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Double scale
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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.