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Finding the Fourth Proportional to 3,777.84, 5,211.72 and 2,205

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Solution

The fourth proportional to 3,777.84, 5,211.72 and 2,205 is: 3,041.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.84 : 5,211.72 = 2,205 : x
  2. Step 2: Convert to fraction form
    3,777.84/5,211.72 = 2,205/x
  3. Step 3: Cross multiply
    3,777.84x = 5,211.72 × 2,205
  4. Step 4: Simplify right side
    3,777.84x = 11,491,842.60
  5. Step 5: Solve for x
    x = 11,491,842.60/3,777.84
  6. Step 6: Final answer
    x = 3,041.91

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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.