Finding the Fourth Proportional to 1,898.52, 2,847.86 and 511.98
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Solution
The fourth proportional to 1,898.52, 2,847.86 and 511.98 is: 767.99
Step by Step Solution
- Step 1: Write the proportion equation
1,898.52 : 2,847.86 = 511.98 : x - Step 2: Convert to fraction form
1,898.52/2,847.86 = 511.98/x - Step 3: Cross multiply
1,898.52x = 2,847.86 × 511.98 - Step 4: Simplify right side
1,898.52x = 1,458,044.80 - Step 5: Solve for x
x = 1,458,044.80/1,898.52 - Step 6: Final answer
x = 767.99
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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.