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Finding the Fourth Proportional to 9,786.95, 13,496.05 and 8,375.32

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Solution

The fourth proportional to 9,786.95, 13,496.05 and 8,375.32 is: 11,549.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.95 : 13,496.05 = 8,375.32 : x
  2. Step 2: Convert to fraction form
    9,786.95/13,496.05 = 8,375.32/x
  3. Step 3: Cross multiply
    9,786.95x = 13,496.05 × 8,375.32
  4. Step 4: Simplify right side
    9,786.95x = 113,033,737.49
  5. Step 5: Solve for x
    x = 113,033,737.49/9,786.95
  6. Step 6: Final answer
    x = 11,549.43

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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.