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Finding the Fourth Proportional to 8,408.70, 12,611.42 and 2,565.90

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Solution

The fourth proportional to 8,408.70, 12,611.42 and 2,565.90 is: 3,848.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.70 : 12,611.42 = 2,565.90 : x
  2. Step 2: Convert to fraction form
    8,408.70/12,611.42 = 2,565.90/x
  3. Step 3: Cross multiply
    8,408.70x = 12,611.42 × 2,565.90
  4. Step 4: Simplify right side
    8,408.70x = 32,359,642.58
  5. Step 5: Solve for x
    x = 32,359,642.58/8,408.70
  6. Step 6: Final answer
    x = 3,848.35

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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.