Finding the Fourth Proportional to 10,830,416.29, 14,937,365.14 and 9,204,206.83
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Solution
The fourth proportional to 10,830,416.29, 14,937,365.14 and 9,204,206.83 is: 12,694,488.80
Step by Step Solution
- Step 1: Write the proportion equation
10,830,416.29 : 14,937,365.14 = 9,204,206.83 : x - Step 2: Convert to fraction form
10,830,416.29/14,937,365.14 = 9,204,206.83/x - Step 3: Cross multiply
10,830,416.29x = 14,937,365.14 × 9,204,206.83 - Step 4: Simplify right side
10,830,416.29x = 137,486,598,293,352.09 - Step 5: Solve for x
x = 137,486,598,293,352.09/10,830,416.29 - Step 6: Final answer
x = 12,694,488.80
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1.5x scale
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.