Finding the Fourth Proportional to 2,076.29, 2,864.58 and 1,412
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Solution
The fourth proportional to 2,076.29, 2,864.58 and 1,412 is: 1,948.08
Step by Step Solution
- Step 1: Write the proportion equation
2,076.29 : 2,864.58 = 1,412 : x - Step 2: Convert to fraction form
2,076.29/2,864.58 = 1,412/x - Step 3: Cross multiply
2,076.29x = 2,864.58 × 1,412 - Step 4: Simplify right side
2,076.29x = 4,044,786.96 - Step 5: Solve for x
x = 4,044,786.96/2,076.29 - Step 6: Final answer
x = 1,948.08
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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.