Finding the Fourth Proportional to 5,688, 8,533.44 and 1,584
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Solution
The fourth proportional to 5,688, 8,533.44 and 1,584 is: 2,376.40
Step by Step Solution
- Step 1: Write the proportion equation
5,688 : 8,533.44 = 1,584 : x - Step 2: Convert to fraction form
5,688/8,533.44 = 1,584/x - Step 3: Cross multiply
5,688x = 8,533.44 × 1,584 - Step 4: Simplify right side
5,688x = 13,516,968.96 - Step 5: Solve for x
x = 13,516,968.96/5,688 - Step 6: Final answer
x = 2,376.40
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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.