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Finding the Fourth Proportional to 8,408.98, 12,611.98 and 3,142.81

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Solution

The fourth proportional to 8,408.98, 12,611.98 and 3,142.81 is: 4,713.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.98 : 12,611.98 = 3,142.81 : x
  2. Step 2: Convert to fraction form
    8,408.98/12,611.98 = 3,142.81/x
  3. Step 3: Cross multiply
    8,408.98x = 12,611.98 × 3,142.81
  4. Step 4: Simplify right side
    8,408.98x = 39,637,056.86
  5. Step 5: Solve for x
    x = 39,637,056.86/8,408.98
  6. Step 6: Final answer
    x = 4,713.66

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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.