Finding the Fourth Proportional to 2,117.36, 3,175.68 and 578
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Solution
The fourth proportional to 2,117.36, 3,175.68 and 578 is: 866.90
Step by Step Solution
- Step 1: Write the proportion equation
2,117.36 : 3,175.68 = 578 : x - Step 2: Convert to fraction form
2,117.36/3,175.68 = 578/x - Step 3: Cross multiply
2,117.36x = 3,175.68 × 578 - Step 4: Simplify right side
2,117.36x = 1,835,543.04 - Step 5: Solve for x
x = 1,835,543.04/2,117.36 - Step 6: Final answer
x = 866.90
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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.