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Finding the Fourth Proportional to 8,193.78, 12,279.69 and 7,668.90

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Solution

The fourth proportional to 8,193.78, 12,279.69 and 7,668.90 is: 11,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.78 : 12,279.69 = 7,668.90 : x
  2. Step 2: Convert to fraction form
    8,193.78/12,279.69 = 7,668.90/x
  3. Step 3: Cross multiply
    8,193.78x = 12,279.69 × 7,668.90
  4. Step 4: Simplify right side
    8,193.78x = 94,171,714.64
  5. Step 5: Solve for x
    x = 94,171,714.64/8,193.78
  6. Step 6: Final answer
    x = 11,493.07

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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.