Finding the Fourth Proportional to 35.84, 53.74 and 31.34
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Solution
The fourth proportional to 35.84, 53.74 and 31.34 is: 46.99
Step by Step Solution
- Step 1: Write the proportion equation
35.84 : 53.74 = 31.34 : x - Step 2: Convert to fraction form
35.84/53.74 = 31.34/x - Step 3: Cross multiply
35.84x = 53.74 × 31.34 - Step 4: Simplify right side
35.84x = 1,684.21 - Step 5: Solve for x
x = 1,684.21/35.84 - Step 6: Final answer
x = 46.99
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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.