Finding the Fourth Proportional to 1,837, 2,535.06 and 1,009
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Solution
The fourth proportional to 1,837, 2,535.06 and 1,009 is: 1,392.42
Step by Step Solution
- Step 1: Write the proportion equation
1,837 : 2,535.06 = 1,009 : x - Step 2: Convert to fraction form
1,837/2,535.06 = 1,009/x - Step 3: Cross multiply
1,837x = 2,535.06 × 1,009 - Step 4: Simplify right side
1,837x = 2,557,875.54 - Step 5: Solve for x
x = 2,557,875.54/1,837 - Step 6: Final answer
x = 1,392.42
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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.