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Finding the Fourth Proportional to 8,414.44, 12,621.67 and 2,491.42

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Solution

The fourth proportional to 8,414.44, 12,621.67 and 2,491.42 is: 3,737.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.44 : 12,621.67 = 2,491.42 : x
  2. Step 2: Convert to fraction form
    8,414.44/12,621.67 = 2,491.42/x
  3. Step 3: Cross multiply
    8,414.44x = 12,621.67 × 2,491.42
  4. Step 4: Simplify right side
    8,414.44x = 31,445,881.07
  5. Step 5: Solve for x
    x = 31,445,881.07/8,414.44
  6. Step 6: Final answer
    x = 3,737.13

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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.