Finding the Fourth Proportional to 13,043.28, 19,567.80 and 6,114
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Solution
The fourth proportional to 13,043.28, 19,567.80 and 6,114 is: 9,172.35
Step by Step Solution
- Step 1: Write the proportion equation
13,043.28 : 19,567.80 = 6,114 : x - Step 2: Convert to fraction form
13,043.28/19,567.80 = 6,114/x - Step 3: Cross multiply
13,043.28x = 19,567.80 × 6,114 - Step 4: Simplify right side
13,043.28x = 119,637,529.20 - Step 5: Solve for x
x = 119,637,529.20/13,043.28 - Step 6: Final answer
x = 9,172.35
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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.