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Finding the Fourth Proportional to 9,679.55, 13,361.92 and 8,195.23

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Solution

The fourth proportional to 9,679.55, 13,361.92 and 8,195.23 is: 11,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.55 : 13,361.92 = 8,195.23 : x
  2. Step 2: Convert to fraction form
    9,679.55/13,361.92 = 8,195.23/x
  3. Step 3: Cross multiply
    9,679.55x = 13,361.92 × 8,195.23
  4. Step 4: Simplify right side
    9,679.55x = 109,503,953.75
  5. Step 5: Solve for x
    x = 109,503,953.75/9,679.55
  6. Step 6: Final answer
    x = 11,312.91

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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.