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Finding the Fourth Proportional to 3,085.80, 4,629.42 and 894.57

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Solution

The fourth proportional to 3,085.80, 4,629.42 and 894.57 is: 1,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,085.80 : 4,629.42 = 894.57 : x
  2. Step 2: Convert to fraction form
    3,085.80/4,629.42 = 894.57/x
  3. Step 3: Cross multiply
    3,085.80x = 4,629.42 × 894.57
  4. Step 4: Simplify right side
    3,085.80x = 4,141,340.25
  5. Step 5: Solve for x
    x = 4,141,340.25/3,085.80
  6. Step 6: Final answer
    x = 1,342.06

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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.