Finding the Fourth Proportional to 2,454.71, 3,681.70 and 811.31
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Solution
The fourth proportional to 2,454.71, 3,681.70 and 811.31 is: 1,216.84
Step by Step Solution
- Step 1: Write the proportion equation
2,454.71 : 3,681.70 = 811.31 : x - Step 2: Convert to fraction form
2,454.71/3,681.70 = 811.31/x - Step 3: Cross multiply
2,454.71x = 3,681.70 × 811.31 - Step 4: Simplify right side
2,454.71x = 2,987,000.03 - Step 5: Solve for x
x = 2,987,000.03/2,454.71 - Step 6: Final answer
x = 1,216.84
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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.