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Finding the Fourth Proportional to 8,324.86, 12,493.42 and 3,942.30

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Solution

The fourth proportional to 8,324.86, 12,493.42 and 3,942.30 is: 5,916.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.86 : 12,493.42 = 3,942.30 : x
  2. Step 2: Convert to fraction form
    8,324.86/12,493.42 = 3,942.30/x
  3. Step 3: Cross multiply
    8,324.86x = 12,493.42 × 3,942.30
  4. Step 4: Simplify right side
    8,324.86x = 49,252,809.67
  5. Step 5: Solve for x
    x = 49,252,809.67/8,324.86
  6. Step 6: Final answer
    x = 5,916.35

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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.