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Finding the Fourth Proportional to 2,612.24, 3,920.52 and 1,960.88

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Solution

The fourth proportional to 2,612.24, 3,920.52 and 1,960.88 is: 2,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.24 : 3,920.52 = 1,960.88 : x
  2. Step 2: Convert to fraction form
    2,612.24/3,920.52 = 1,960.88/x
  3. Step 3: Cross multiply
    2,612.24x = 3,920.52 × 1,960.88
  4. Step 4: Simplify right side
    2,612.24x = 7,687,669.26
  5. Step 5: Solve for x
    x = 7,687,669.26/2,612.24
  6. Step 6: Final answer
    x = 2,942.94

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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.