Finding the Fourth Proportional to 10,306,306.07, 14,228,224.14 and 7,946,349.48
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Solution
The fourth proportional to 10,306,306.07, 14,228,224.14 and 7,946,349.48 is: 10,970,219.66
Step by Step Solution
- Step 1: Write the proportion equation
10,306,306.07 : 14,228,224.14 = 7,946,349.48 : x - Step 2: Convert to fraction form
10,306,306.07/14,228,224.14 = 7,946,349.48/x - Step 3: Cross multiply
10,306,306.07x = 14,228,224.14 × 7,946,349.48 - Step 4: Simplify right side
10,306,306.07x = 113,062,441,385,339.58 - Step 5: Solve for x
x = 113,062,441,385,339.58/10,306,306.07 - Step 6: Final answer
x = 10,970,219.66
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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.