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Finding the Fourth Proportional to 3,092.30, 4,639.26 and 900.98

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Solution

The fourth proportional to 3,092.30, 4,639.26 and 900.98 is: 1,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.30 : 4,639.26 = 900.98 : x
  2. Step 2: Convert to fraction form
    3,092.30/4,639.26 = 900.98/x
  3. Step 3: Cross multiply
    3,092.30x = 4,639.26 × 900.98
  4. Step 4: Simplify right side
    3,092.30x = 4,179,880.47
  5. Step 5: Solve for x
    x = 4,179,880.47/3,092.30
  6. Step 6: Final answer
    x = 1,351.71

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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.