Finding the Fourth Proportional to 3,202.80, 4,800 and 1,560
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Solution
The fourth proportional to 3,202.80, 4,800 and 1,560 is: 2,337.95
Step by Step Solution
- Step 1: Write the proportion equation
3,202.80 : 4,800 = 1,560 : x - Step 2: Convert to fraction form
3,202.80/4,800 = 1,560/x - Step 3: Cross multiply
3,202.80x = 4,800 × 1,560 - Step 4: Simplify right side
3,202.80x = 7,488,000 - Step 5: Solve for x
x = 7,488,000/3,202.80 - Step 6: Final answer
x = 2,337.95
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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.