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Finding the Fourth Proportional to 8,408.74, 12,613.14 and 3,786.34

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Solution

The fourth proportional to 8,408.74, 12,613.14 and 3,786.34 is: 5,679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.74 : 12,613.14 = 3,786.34 : x
  2. Step 2: Convert to fraction form
    8,408.74/12,613.14 = 3,786.34/x
  3. Step 3: Cross multiply
    8,408.74x = 12,613.14 × 3,786.34
  4. Step 4: Simplify right side
    8,408.74x = 47,757,636.51
  5. Step 5: Solve for x
    x = 47,757,636.51/8,408.74
  6. Step 6: Final answer
    x = 5,679.52

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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.