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Finding the Fourth Proportional to 6,728.64, 10,094.40 and 2,112

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Solution

The fourth proportional to 6,728.64, 10,094.40 and 2,112 is: 3,168.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.64 : 10,094.40 = 2,112 : x
  2. Step 2: Convert to fraction form
    6,728.64/10,094.40 = 2,112/x
  3. Step 3: Cross multiply
    6,728.64x = 10,094.40 × 2,112
  4. Step 4: Simplify right side
    6,728.64x = 21,319,372.80
  5. Step 5: Solve for x
    x = 21,319,372.80/6,728.64
  6. Step 6: Final answer
    x = 3,168.45

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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.