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Finding the Fourth Proportional to 11,691, 16,122.60 and 8,713.44

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Solution

The fourth proportional to 11,691, 16,122.60 and 8,713.44 is: 12,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691 : 16,122.60 = 8,713.44 : x
  2. Step 2: Convert to fraction form
    11,691/16,122.60 = 8,713.44/x
  3. Step 3: Cross multiply
    11,691x = 16,122.60 × 8,713.44
  4. Step 4: Simplify right side
    11,691x = 140,483,307.74
  5. Step 5: Solve for x
    x = 140,483,307.74/11,691
  6. Step 6: Final answer
    x = 12,016.36

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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.