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Finding the Fourth Proportional to 11,656.85, 17,485.29 and 3,863.84

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Solution

The fourth proportional to 11,656.85, 17,485.29 and 3,863.84 is: 5,795.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.85 : 17,485.29 = 3,863.84 : x
  2. Step 2: Convert to fraction form
    11,656.85/17,485.29 = 3,863.84/x
  3. Step 3: Cross multiply
    11,656.85x = 17,485.29 × 3,863.84
  4. Step 4: Simplify right side
    11,656.85x = 67,560,362.91
  5. Step 5: Solve for x
    x = 67,560,362.91/11,656.85
  6. Step 6: Final answer
    x = 5,795.76

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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.