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Finding the Fourth Proportional to 6,356.81, 8,772.44 and 3,838.39

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Solution

The fourth proportional to 6,356.81, 8,772.44 and 3,838.39 is: 5,297.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.81 : 8,772.44 = 3,838.39 : x
  2. Step 2: Convert to fraction form
    6,356.81/8,772.44 = 3,838.39/x
  3. Step 3: Cross multiply
    6,356.81x = 8,772.44 × 3,838.39
  4. Step 4: Simplify right side
    6,356.81x = 33,672,004.85
  5. Step 5: Solve for x
    x = 33,672,004.85/6,356.81
  6. Step 6: Final answer
    x = 5,297.00

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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.