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Finding the Fourth Proportional to 3,777, 5,212.80 and 2,379.48

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Solution

The fourth proportional to 3,777, 5,212.80 and 2,379.48 is: 3,284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777 : 5,212.80 = 2,379.48 : x
  2. Step 2: Convert to fraction form
    3,777/5,212.80 = 2,379.48/x
  3. Step 3: Cross multiply
    3,777x = 5,212.80 × 2,379.48
  4. Step 4: Simplify right side
    3,777x = 12,403,753.34
  5. Step 5: Solve for x
    x = 12,403,753.34/3,777
  6. Step 6: Final answer
    x = 3,284.02

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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.