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Finding the Fourth Proportional to 2,003.96, 3,005.94 and 908.12

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Solution

The fourth proportional to 2,003.96, 3,005.94 and 908.12 is: 1,362.18

Step by Step Solution

Step 1: Write the proportion equation
2,003.96 : 3,005.94 = 908.12 : x
Step 2: Convert to fraction form
2,003.96/3,005.94 = 908.12/x
Step 3: Cross multiply
2,003.96x = 3,005.94 × 908.12
Step 4: Simplify right side
2,003.96x = 2,729,754.23
Step 5: Solve for x
x = 2,729,754.23/2,003.96
Step 6: Final answer
x = 1,362.18

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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.