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Finding the Fourth Proportional to 6,356.63, 8,772.14 and 3,872.63

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Solution

The fourth proportional to 6,356.63, 8,772.14 and 3,872.63 is: 5,344.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.63 : 8,772.14 = 3,872.63 : x
  2. Step 2: Convert to fraction form
    6,356.63/8,772.14 = 3,872.63/x
  3. Step 3: Cross multiply
    6,356.63x = 8,772.14 × 3,872.63
  4. Step 4: Simplify right side
    6,356.63x = 33,971,218.35
  5. Step 5: Solve for x
    x = 33,971,218.35/6,356.63
  6. Step 6: Final answer
    x = 5,344.22

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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.