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Finding the Fourth Proportional to 6,418, 8,857 and 3,623.52

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Solution

The fourth proportional to 6,418, 8,857 and 3,623.52 is: 5,000.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418 : 8,857 = 3,623.52 : x
  2. Step 2: Convert to fraction form
    6,418/8,857 = 3,623.52/x
  3. Step 3: Cross multiply
    6,418x = 8,857 × 3,623.52
  4. Step 4: Simplify right side
    6,418x = 32,093,516.64
  5. Step 5: Solve for x
    x = 32,093,516.64/6,418
  6. Step 6: Final answer
    x = 5,000.55

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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.