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Finding the Fourth Proportional to 12,658.72, 18,986.64 and 3,424

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Solution

The fourth proportional to 12,658.72, 18,986.64 and 3,424 is: 5,135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.72 : 18,986.64 = 3,424 : x
  2. Step 2: Convert to fraction form
    12,658.72/18,986.64 = 3,424/x
  3. Step 3: Cross multiply
    12,658.72x = 18,986.64 × 3,424
  4. Step 4: Simplify right side
    12,658.72x = 65,010,255.36
  5. Step 5: Solve for x
    x = 65,010,255.36/12,658.72
  6. Step 6: Final answer
    x = 5,135.61

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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.