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Finding the Fourth Proportional to 2,612, 3,606.72 and 1,682.12

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Solution

The fourth proportional to 2,612, 3,606.72 and 1,682.12 is: 2,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612 : 3,606.72 = 1,682.12 : x
  2. Step 2: Convert to fraction form
    2,612/3,606.72 = 1,682.12/x
  3. Step 3: Cross multiply
    2,612x = 3,606.72 × 1,682.12
  4. Step 4: Simplify right side
    2,612x = 6,066,935.85
  5. Step 5: Solve for x
    x = 6,066,935.85/2,612
  6. Step 6: Final answer
    x = 2,322.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.