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Finding the Fourth Proportional to 2,712, 4,068 and 660

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Solution

The fourth proportional to 2,712, 4,068 and 660 is: 990

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712 : 4,068 = 660 : x
  2. Step 2: Convert to fraction form
    2,712/4,068 = 660/x
  3. Step 3: Cross multiply
    2,712x = 4,068 × 660
  4. Step 4: Simplify right side
    2,712x = 2,684,880
  5. Step 5: Solve for x
    x = 2,684,880/2,712
  6. Step 6: Final answer
    x = 990

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.