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Finding the Fourth Proportional to 8,241.72, 12,369.22 and 4,294.18

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Solution

The fourth proportional to 8,241.72, 12,369.22 and 4,294.18 is: 6,444.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241.72 : 12,369.22 = 4,294.18 : x
  2. Step 2: Convert to fraction form
    8,241.72/12,369.22 = 4,294.18/x
  3. Step 3: Cross multiply
    8,241.72x = 12,369.22 × 4,294.18
  4. Step 4: Simplify right side
    8,241.72x = 53,115,661.87
  5. Step 5: Solve for x
    x = 53,115,661.87/8,241.72
  6. Step 6: Final answer
    x = 6,444.73

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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.