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Finding the Fourth Proportional to 6,463, 8,918.94 and 3,519

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Solution

The fourth proportional to 6,463, 8,918.94 and 3,519 is: 4,856.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463 : 8,918.94 = 3,519 : x
  2. Step 2: Convert to fraction form
    6,463/8,918.94 = 3,519/x
  3. Step 3: Cross multiply
    6,463x = 8,918.94 × 3,519
  4. Step 4: Simplify right side
    6,463x = 31,385,749.86
  5. Step 5: Solve for x
    x = 31,385,749.86/6,463
  6. Step 6: Final answer
    x = 4,856.22

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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.