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Finding the Fourth Proportional to 5,688, 7,850.88 and 3,205.44

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Solution

The fourth proportional to 5,688, 7,850.88 and 3,205.44 is: 4,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688 : 7,850.88 = 3,205.44 : x
  2. Step 2: Convert to fraction form
    5,688/7,850.88 = 3,205.44/x
  3. Step 3: Cross multiply
    5,688x = 7,850.88 × 3,205.44
  4. Step 4: Simplify right side
    5,688x = 25,165,524.79
  5. Step 5: Solve for x
    x = 25,165,524.79/5,688
  6. Step 6: Final answer
    x = 4,424.32

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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.