Finding the Fourth Proportional to 2,366.25, 3,547.99 and 978
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Solution
The fourth proportional to 2,366.25, 3,547.99 and 978 is: 1,466.43
Step by Step Solution
- Step 1: Write the proportion equation
2,366.25 : 3,547.99 = 978 : x - Step 2: Convert to fraction form
2,366.25/3,547.99 = 978/x - Step 3: Cross multiply
2,366.25x = 3,547.99 × 978 - Step 4: Simplify right side
2,366.25x = 3,469,934.22 - Step 5: Solve for x
x = 3,469,934.22/2,366.25 - Step 6: Final answer
x = 1,466.43
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.