Finding the Fourth Proportional to 10,306,406.71, 14,228,363.10 and 7,946,449.84
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Solution
The fourth proportional to 10,306,406.71, 14,228,363.10 and 7,946,449.84 is: 10,970,358.23
Step by Step Solution
- Step 1: Write the proportion equation
10,306,406.71 : 14,228,363.10 = 7,946,449.84 : x - Step 2: Convert to fraction form
10,306,406.71/14,228,363.10 = 7,946,449.84/x - Step 3: Cross multiply
10,306,406.71x = 14,228,363.10 × 7,946,449.84 - Step 4: Simplify right side
10,306,406.71x = 113,064,973,679,456.91 - Step 5: Solve for x
x = 113,064,973,679,456.91/10,306,406.71 - Step 6: Final answer
x = 10,970,358.23
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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.