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Finding the Fourth Proportional to 9,305.82, 12,824.73 and 6,321.78

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Solution

The fourth proportional to 9,305.82, 12,824.73 and 6,321.78 is: 8,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.82 : 12,824.73 = 6,321.78 : x
  2. Step 2: Convert to fraction form
    9,305.82/12,824.73 = 6,321.78/x
  3. Step 3: Cross multiply
    9,305.82x = 12,824.73 × 6,321.78
  4. Step 4: Simplify right side
    9,305.82x = 81,075,121.62
  5. Step 5: Solve for x
    x = 81,075,121.62/9,305.82
  6. Step 6: Final answer
    x = 8,712.30

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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.