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Finding the Fourth Proportional to 8,324.42, 12,492.78 and 3,941.87

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Solution

The fourth proportional to 8,324.42, 12,492.78 and 3,941.87 is: 5,915.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.42 : 12,492.78 = 3,941.87 : x
  2. Step 2: Convert to fraction form
    8,324.42/12,492.78 = 3,941.87/x
  3. Step 3: Cross multiply
    8,324.42x = 12,492.78 × 3,941.87
  4. Step 4: Simplify right side
    8,324.42x = 49,244,945.93
  5. Step 5: Solve for x
    x = 49,244,945.93/8,324.42
  6. Step 6: Final answer
    x = 5,915.72

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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.