Finding the Fourth Proportional to 4,178, 6,269.88 and 1,442
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Solution
The fourth proportional to 4,178, 6,269.88 and 1,442 is: 2,163.99
Step by Step Solution
- Step 1: Write the proportion equation
4,178 : 6,269.88 = 1,442 : x - Step 2: Convert to fraction form
4,178/6,269.88 = 1,442/x - Step 3: Cross multiply
4,178x = 6,269.88 × 1,442 - Step 4: Simplify right side
4,178x = 9,041,166.96 - Step 5: Solve for x
x = 9,041,166.96/4,178 - Step 6: Final answer
x = 2,163.99
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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.