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Finding the Fourth Proportional to 8,639.46, 12,960 and 5,198.58

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Solution

The fourth proportional to 8,639.46, 12,960 and 5,198.58 is: 7,798.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,639.46 : 12,960 = 5,198.58 : x
  2. Step 2: Convert to fraction form
    8,639.46/12,960 = 5,198.58/x
  3. Step 3: Cross multiply
    8,639.46x = 12,960 × 5,198.58
  4. Step 4: Simplify right side
    8,639.46x = 67,373,596.80
  5. Step 5: Solve for x
    x = 67,373,596.80/8,639.46
  6. Step 6: Final answer
    x = 7,798.36

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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.