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Finding the Fourth Proportional to 3,777, 5,212.26 and 2,121

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Solution

The fourth proportional to 3,777, 5,212.26 and 2,121 is: 2,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777 : 5,212.26 = 2,121 : x
  2. Step 2: Convert to fraction form
    3,777/5,212.26 = 2,121/x
  3. Step 3: Cross multiply
    3,777x = 5,212.26 × 2,121
  4. Step 4: Simplify right side
    3,777x = 11,055,203.46
  5. Step 5: Solve for x
    x = 11,055,203.46/3,777
  6. Step 6: Final answer
    x = 2,926.98

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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.