Finding the Fourth Proportional to 16,284,768.24, 24,389,947.80 and 7,771,083.60
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Solution
The fourth proportional to 16,284,768.24, 24,389,947.80 and 7,771,083.60 is: 11,638,871.40
Step by Step Solution
- Step 1: Write the proportion equation
16,284,768.24 : 24,389,947.80 = 7,771,083.60 : x - Step 2: Convert to fraction form
16,284,768.24/24,389,947.80 = 7,771,083.60/x - Step 3: Cross multiply
16,284,768.24x = 24,389,947.80 × 7,771,083.60 - Step 4: Simplify right side
16,284,768.24x = 189,536,323,353,436.06 - Step 5: Solve for x
x = 189,536,323,353,436.06/16,284,768.24 - Step 6: Final answer
x = 11,638,871.40
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.