Finding the Fourth Proportional to 20,283,782.76, 27,982,823.22 and 13,417,846.92
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Solution
The fourth proportional to 20,283,782.76, 27,982,823.22 and 13,417,846.92 is: 18,510,809.49
Step by Step Solution
- Step 1: Write the proportion equation
20,283,782.76 : 27,982,823.22 = 13,417,846.92 : x - Step 2: Convert to fraction form
20,283,782.76/27,982,823.22 = 13,417,846.92/x - Step 3: Cross multiply
20,283,782.76x = 27,982,823.22 × 13,417,846.92 - Step 4: Simplify right side
20,283,782.76x = 375,469,238,355,381.44 - Step 5: Solve for x
x = 375,469,238,355,381.44/20,283,782.76 - Step 6: Final answer
x = 18,510,809.49
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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.