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Finding the Fourth Proportional to 8,307.92, 11,481.28 and 6,813.44

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Solution

The fourth proportional to 8,307.92, 11,481.28 and 6,813.44 is: 9,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.92 : 11,481.28 = 6,813.44 : x
  2. Step 2: Convert to fraction form
    8,307.92/11,481.28 = 6,813.44/x
  3. Step 3: Cross multiply
    8,307.92x = 11,481.28 × 6,813.44
  4. Step 4: Simplify right side
    8,307.92x = 78,227,012.40
  5. Step 5: Solve for x
    x = 78,227,012.40/8,307.92
  6. Step 6: Final answer
    x = 9,415.96

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Half scale
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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.