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Finding the Fourth Proportional to 6,381, 8,806.14 and 3,586.50

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Solution

The fourth proportional to 6,381, 8,806.14 and 3,586.50 is: 4,949.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381 : 8,806.14 = 3,586.50 : x
  2. Step 2: Convert to fraction form
    6,381/8,806.14 = 3,586.50/x
  3. Step 3: Cross multiply
    6,381x = 8,806.14 × 3,586.50
  4. Step 4: Simplify right side
    6,381x = 31,583,221.11
  5. Step 5: Solve for x
    x = 31,583,221.11/6,381
  6. Step 6: Final answer
    x = 4,949.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.