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Finding the Fourth Proportional to 5,463, 8,194.50 and 2,000.25

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Solution

The fourth proportional to 5,463, 8,194.50 and 2,000.25 is: 3,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463 : 8,194.50 = 2,000.25 : x
  2. Step 2: Convert to fraction form
    5,463/8,194.50 = 2,000.25/x
  3. Step 3: Cross multiply
    5,463x = 8,194.50 × 2,000.25
  4. Step 4: Simplify right side
    5,463x = 16,391,048.63
  5. Step 5: Solve for x
    x = 16,391,048.63/5,463
  6. Step 6: Final answer
    x = 3,000.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.