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Finding the Fourth Proportional to 3,208.89, 4,813.50 and 900.57

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Solution

The fourth proportional to 3,208.89, 4,813.50 and 900.57 is: 1,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.89 : 4,813.50 = 900.57 : x
  2. Step 2: Convert to fraction form
    3,208.89/4,813.50 = 900.57/x
  3. Step 3: Cross multiply
    3,208.89x = 4,813.50 × 900.57
  4. Step 4: Simplify right side
    3,208.89x = 4,334,893.70
  5. Step 5: Solve for x
    x = 4,334,893.70/3,208.89
  6. Step 6: Final answer
    x = 1,350.90

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Why These Related Problems?

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