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Finding the Fourth Proportional to 8,093.63, 12,137.90 and 3,412.78

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Solution

The fourth proportional to 8,093.63, 12,137.90 and 3,412.78 is: 5,118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.63 : 12,137.90 = 3,412.78 : x
  2. Step 2: Convert to fraction form
    8,093.63/12,137.90 = 3,412.78/x
  3. Step 3: Cross multiply
    8,093.63x = 12,137.90 × 3,412.78
  4. Step 4: Simplify right side
    8,093.63x = 41,423,934.95
  5. Step 5: Solve for x
    x = 41,423,934.95/8,093.63
  6. Step 6: Final answer
    x = 5,118.09

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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.