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Finding the Fourth Proportional to 3,096.51, 4,633.13 and 1,842.49

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Solution

The fourth proportional to 3,096.51, 4,633.13 and 1,842.49 is: 2,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.51 : 4,633.13 = 1,842.49 : x
  2. Step 2: Convert to fraction form
    3,096.51/4,633.13 = 1,842.49/x
  3. Step 3: Cross multiply
    3,096.51x = 4,633.13 × 1,842.49
  4. Step 4: Simplify right side
    3,096.51x = 8,536,485.29
  5. Step 5: Solve for x
    x = 8,536,485.29/3,096.51
  6. Step 6: Final answer
    x = 2,756.81

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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.