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Finding the Fourth Proportional to 8,464.50, 12,704.85 and 3,532.82

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Solution

The fourth proportional to 8,464.50, 12,704.85 and 3,532.82 is: 5,302.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.50 : 12,704.85 = 3,532.82 : x
  2. Step 2: Convert to fraction form
    8,464.50/12,704.85 = 3,532.82/x
  3. Step 3: Cross multiply
    8,464.50x = 12,704.85 × 3,532.82
  4. Step 4: Simplify right side
    8,464.50x = 44,883,884.65
  5. Step 5: Solve for x
    x = 44,883,884.65/8,464.50
  6. Step 6: Final answer
    x = 5,302.60

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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.