Finding the Fourth Proportional to 2,317.16, 3,478.17 and 856.73
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Solution
The fourth proportional to 2,317.16, 3,478.17 and 856.73 is: 1,285.99
Step by Step Solution
- Step 1: Write the proportion equation
2,317.16 : 3,478.17 = 856.73 : x - Step 2: Convert to fraction form
2,317.16/3,478.17 = 856.73/x - Step 3: Cross multiply
2,317.16x = 3,478.17 × 856.73 - Step 4: Simplify right side
2,317.16x = 2,979,835.19 - Step 5: Solve for x
x = 2,979,835.19/2,317.16 - Step 6: Final answer
x = 1,285.99
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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.