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Finding the Fourth Proportional to 8,297.78, 12,448.76 and 6,819.39

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Solution

The fourth proportional to 8,297.78, 12,448.76 and 6,819.39 is: 10,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.78 : 12,448.76 = 6,819.39 : x
  2. Step 2: Convert to fraction form
    8,297.78/12,448.76 = 6,819.39/x
  3. Step 3: Cross multiply
    8,297.78x = 12,448.76 × 6,819.39
  4. Step 4: Simplify right side
    8,297.78x = 84,892,915.36
  5. Step 5: Solve for x
    x = 84,892,915.36/8,297.78
  6. Step 6: Final answer
    x = 10,230.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.