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Finding the Fourth Proportional to 8,404.50, 12,598.20 and 3,476.82

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Solution

The fourth proportional to 8,404.50, 12,598.20 and 3,476.82 is: 5,211.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.50 : 12,598.20 = 3,476.82 : x
  2. Step 2: Convert to fraction form
    8,404.50/12,598.20 = 3,476.82/x
  3. Step 3: Cross multiply
    8,404.50x = 12,598.20 × 3,476.82
  4. Step 4: Simplify right side
    8,404.50x = 43,801,673.72
  5. Step 5: Solve for x
    x = 43,801,673.72/8,404.50
  6. Step 6: Final answer
    x = 5,211.69

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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.