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Finding the Fourth Proportional to 12,447, 18,658.08 and 5,861.43

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Solution

The fourth proportional to 12,447, 18,658.08 and 5,861.43 is: 8,786.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,447 : 18,658.08 = 5,861.43 : x
  2. Step 2: Convert to fraction form
    12,447/18,658.08 = 5,861.43/x
  3. Step 3: Cross multiply
    12,447x = 18,658.08 × 5,861.43
  4. Step 4: Simplify right side
    12,447x = 109,363,029.85
  5. Step 5: Solve for x
    x = 109,363,029.85/12,447
  6. Step 6: Final answer
    x = 8,786.30

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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.