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Finding the Fourth Proportional to 8,408.14, 12,614.08 and 2,565.20

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Solution

The fourth proportional to 8,408.14, 12,614.08 and 2,565.20 is: 3,848.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,408.14 : 12,614.08 = 2,565.20 : x
  2. Step 2: Convert to fraction form
    8,408.14/12,614.08 = 2,565.20/x
  3. Step 3: Cross multiply
    8,408.14x = 12,614.08 × 2,565.20
  4. Step 4: Simplify right side
    8,408.14x = 32,357,638.02
  5. Step 5: Solve for x
    x = 32,357,638.02/8,408.14
  6. Step 6: Final answer
    x = 3,848.37

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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.