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Finding the Fourth Proportional to 6,415.36, 8,849.18 and 3,895

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Solution

The fourth proportional to 6,415.36, 8,849.18 and 3,895 is: 5,372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.36 : 8,849.18 = 3,895 : x
  2. Step 2: Convert to fraction form
    6,415.36/8,849.18 = 3,895/x
  3. Step 3: Cross multiply
    6,415.36x = 8,849.18 × 3,895
  4. Step 4: Simplify right side
    6,415.36x = 34,467,556.10
  5. Step 5: Solve for x
    x = 34,467,556.10/6,415.36
  6. Step 6: Final answer
    x = 5,372.66

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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.