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Finding the Fourth Proportional to 8,408.46, 12,614.58 and 2,565.54

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Solution

The fourth proportional to 8,408.46, 12,614.58 and 2,565.54 is: 3,848.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.46 : 12,614.58 = 2,565.54 : x
  2. Step 2: Convert to fraction form
    8,408.46/12,614.58 = 2,565.54/x
  3. Step 3: Cross multiply
    8,408.46x = 12,614.58 × 2,565.54
  4. Step 4: Simplify right side
    8,408.46x = 32,363,209.57
  5. Step 5: Solve for x
    x = 32,363,209.57/8,408.46
  6. Step 6: Final answer
    x = 3,848.89

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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.