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Finding the Fourth Proportional to 8,599.70, 12,890.42 and 5,469.86

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Solution

The fourth proportional to 8,599.70, 12,890.42 and 5,469.86 is: 8,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,599.70 : 12,890.42 = 5,469.86 : x
  2. Step 2: Convert to fraction form
    8,599.70/12,890.42 = 5,469.86/x
  3. Step 3: Cross multiply
    8,599.70x = 12,890.42 × 5,469.86
  4. Step 4: Simplify right side
    8,599.70x = 70,508,792.74
  5. Step 5: Solve for x
    x = 70,508,792.74/8,599.70
  6. Step 6: Final answer
    x = 8,198.98

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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.