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Finding the Fourth Proportional to 9,297.44, 12,811.39 and 8,641.16

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Solution

The fourth proportional to 9,297.44, 12,811.39 and 8,641.16 is: 11,907.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.44 : 12,811.39 = 8,641.16 : x
  2. Step 2: Convert to fraction form
    9,297.44/12,811.39 = 8,641.16/x
  3. Step 3: Cross multiply
    9,297.44x = 12,811.39 × 8,641.16
  4. Step 4: Simplify right side
    9,297.44x = 110,705,185.15
  5. Step 5: Solve for x
    x = 110,705,185.15/9,297.44
  6. Step 6: Final answer
    x = 11,907.07

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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.