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Finding the Fourth Proportional to 8,609.50, 12,916.41 and 2,453.50

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Solution

The fourth proportional to 8,609.50, 12,916.41 and 2,453.50 is: 3,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.50 : 12,916.41 = 2,453.50 : x
  2. Step 2: Convert to fraction form
    8,609.50/12,916.41 = 2,453.50/x
  3. Step 3: Cross multiply
    8,609.50x = 12,916.41 × 2,453.50
  4. Step 4: Simplify right side
    8,609.50x = 31,690,411.94
  5. Step 5: Solve for x
    x = 31,690,411.94/8,609.50
  6. Step 6: Final answer
    x = 3,680.87

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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.