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Finding the Fourth Proportional to 5,695, 7,859.10 and 3,211

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Solution

The fourth proportional to 5,695, 7,859.10 and 3,211 is: 4,431.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695 : 7,859.10 = 3,211 : x
  2. Step 2: Convert to fraction form
    5,695/7,859.10 = 3,211/x
  3. Step 3: Cross multiply
    5,695x = 7,859.10 × 3,211
  4. Step 4: Simplify right side
    5,695x = 25,235,570.10
  5. Step 5: Solve for x
    x = 25,235,570.10/5,695
  6. Step 6: Final answer
    x = 4,431.18

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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.