Finding the Fourth Proportional to 2,142, 2,955.99 and 1,314
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Solution
The fourth proportional to 2,142, 2,955.99 and 1,314 is: 1,813.34
Step by Step Solution
- Step 1: Write the proportion equation
2,142 : 2,955.99 = 1,314 : x - Step 2: Convert to fraction form
2,142/2,955.99 = 1,314/x - Step 3: Cross multiply
2,142x = 2,955.99 × 1,314 - Step 4: Simplify right side
2,142x = 3,884,170.86 - Step 5: Solve for x
x = 3,884,170.86/2,142 - Step 6: Final answer
x = 1,813.34
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.