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Finding the Fourth Proportional to 6,822.05, 9,431.34 and 6,759.78

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Solution

The fourth proportional to 6,822.05, 9,431.34 and 6,759.78 is: 9,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.05 : 9,431.34 = 6,759.78 : x
  2. Step 2: Convert to fraction form
    6,822.05/9,431.34 = 6,759.78/x
  3. Step 3: Cross multiply
    6,822.05x = 9,431.34 × 6,759.78
  4. Step 4: Simplify right side
    6,822.05x = 63,753,783.51
  5. Step 5: Solve for x
    x = 63,753,783.51/6,822.05
  6. Step 6: Final answer
    x = 9,345.26

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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.