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Finding the Fourth Proportional to 6,328.74, 8,731.90 and 3,639.81

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Solution

The fourth proportional to 6,328.74, 8,731.90 and 3,639.81 is: 5,021.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.74 : 8,731.90 = 3,639.81 : x
  2. Step 2: Convert to fraction form
    6,328.74/8,731.90 = 3,639.81/x
  3. Step 3: Cross multiply
    6,328.74x = 8,731.90 × 3,639.81
  4. Step 4: Simplify right side
    6,328.74x = 31,782,456.94
  5. Step 5: Solve for x
    x = 31,782,456.94/6,328.74
  6. Step 6: Final answer
    x = 5,021.92

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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.