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Finding the Fourth Proportional to 8,684.32, 13,028.82 and 3,136

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Solution

The fourth proportional to 8,684.32, 13,028.82 and 3,136 is: 4,704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.32 : 13,028.82 = 3,136 : x
  2. Step 2: Convert to fraction form
    8,684.32/13,028.82 = 3,136/x
  3. Step 3: Cross multiply
    8,684.32x = 13,028.82 × 3,136
  4. Step 4: Simplify right side
    8,684.32x = 40,858,379.52
  5. Step 5: Solve for x
    x = 40,858,379.52/8,684.32
  6. Step 6: Final answer
    x = 4,704.84

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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.