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Finding the Fourth Proportional to 2,221.77, 3,333.12 and 835.08

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Solution

The fourth proportional to 2,221.77, 3,333.12 and 835.08 is: 1,252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.77 : 3,333.12 = 835.08 : x
  2. Step 2: Convert to fraction form
    2,221.77/3,333.12 = 835.08/x
  3. Step 3: Cross multiply
    2,221.77x = 3,333.12 × 835.08
  4. Step 4: Simplify right side
    2,221.77x = 2,783,421.85
  5. Step 5: Solve for x
    x = 2,783,421.85/2,221.77
  6. Step 6: Final answer
    x = 1,252.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.