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Finding the Fourth Proportional to 3,891, 5,369.82 and 2,212.50

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Solution

The fourth proportional to 3,891, 5,369.82 and 2,212.50 is: 3,053.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891 : 5,369.82 = 2,212.50 : x
  2. Step 2: Convert to fraction form
    3,891/5,369.82 = 2,212.50/x
  3. Step 3: Cross multiply
    3,891x = 5,369.82 × 2,212.50
  4. Step 4: Simplify right side
    3,891x = 11,880,726.75
  5. Step 5: Solve for x
    x = 11,880,726.75/3,891
  6. Step 6: Final answer
    x = 3,053.39

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1.5x scale

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.