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Finding the Fourth Proportional to 4,728, 7,094.88 and 1,992

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Solution

The fourth proportional to 4,728, 7,094.88 and 1,992 is: 2,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728 : 7,094.88 = 1,992 : x
  2. Step 2: Convert to fraction form
    4,728/7,094.88 = 1,992/x
  3. Step 3: Cross multiply
    4,728x = 7,094.88 × 1,992
  4. Step 4: Simplify right side
    4,728x = 14,133,000.96
  5. Step 5: Solve for x
    x = 14,133,000.96/4,728
  6. Step 6: Final answer
    x = 2,989.21

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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.