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Finding the Fourth Proportional to 8,609, 12,915.66 and 2,453

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Solution

The fourth proportional to 8,609, 12,915.66 and 2,453 is: 3,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609 : 12,915.66 = 2,453 : x
  2. Step 2: Convert to fraction form
    8,609/12,915.66 = 2,453/x
  3. Step 3: Cross multiply
    8,609x = 12,915.66 × 2,453
  4. Step 4: Simplify right side
    8,609x = 31,682,113.98
  5. Step 5: Solve for x
    x = 31,682,113.98/8,609
  6. Step 6: Final answer
    x = 3,680.12

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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.