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Finding the Fourth Proportional to 4,112, 6,168.32 and 1,680

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Solution

The fourth proportional to 4,112, 6,168.32 and 1,680 is: 2,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112 : 6,168.32 = 1,680 : x
  2. Step 2: Convert to fraction form
    4,112/6,168.32 = 1,680/x
  3. Step 3: Cross multiply
    4,112x = 6,168.32 × 1,680
  4. Step 4: Simplify right side
    4,112x = 10,362,777.60
  5. Step 5: Solve for x
    x = 10,362,777.60/4,112
  6. Step 6: Final answer
    x = 2,520.13

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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.