Finding the Fourth Proportional to 5,022, 6,930.36 and 2,814
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Solution
The fourth proportional to 5,022, 6,930.36 and 2,814 is: 3,883.32
Step by Step Solution
- Step 1: Write the proportion equation
5,022 : 6,930.36 = 2,814 : x - Step 2: Convert to fraction form
5,022/6,930.36 = 2,814/x - Step 3: Cross multiply
5,022x = 6,930.36 × 2,814 - Step 4: Simplify right side
5,022x = 19,502,033.04 - Step 5: Solve for x
x = 19,502,033.04/5,022 - Step 6: Final answer
x = 3,883.32
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.