Finding the Fourth Proportional to 2,106, 2,906.96 and 1,222
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Solution
The fourth proportional to 2,106, 2,906.96 and 1,222 is: 1,686.75
Step by Step Solution
- Step 1: Write the proportion equation
2,106 : 2,906.96 = 1,222 : x - Step 2: Convert to fraction form
2,106/2,906.96 = 1,222/x - Step 3: Cross multiply
2,106x = 2,906.96 × 1,222 - Step 4: Simplify right side
2,106x = 3,552,305.12 - Step 5: Solve for x
x = 3,552,305.12/2,106 - Step 6: Final answer
x = 1,686.75
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.