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Finding the Fourth Proportional to 12,658.71, 18,986.43 and 3,893.43

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Solution

The fourth proportional to 12,658.71, 18,986.43 and 3,893.43 is: 5,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.71 : 18,986.43 = 3,893.43 : x
  2. Step 2: Convert to fraction form
    12,658.71/18,986.43 = 3,893.43/x
  3. Step 3: Cross multiply
    12,658.71x = 18,986.43 × 3,893.43
  4. Step 4: Simplify right side
    12,658.71x = 73,922,336.15
  5. Step 5: Solve for x
    x = 73,922,336.15/12,658.71
  6. Step 6: Final answer
    x = 5,839.64

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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.