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Finding the Fourth Proportional to 8,466.19, 11,684.72 and 8,092.44

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Solution

The fourth proportional to 8,466.19, 11,684.72 and 8,092.44 is: 11,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.19 : 11,684.72 = 8,092.44 : x
  2. Step 2: Convert to fraction form
    8,466.19/11,684.72 = 8,092.44/x
  3. Step 3: Cross multiply
    8,466.19x = 11,684.72 × 8,092.44
  4. Step 4: Simplify right side
    8,466.19x = 94,557,915.75
  5. Step 5: Solve for x
    x = 94,557,915.75/8,466.19
  6. Step 6: Final answer
    x = 11,168.89

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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.