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Finding the Fourth Proportional to 2,653.87, 3,660.31 and 1,945.45

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Solution

The fourth proportional to 2,653.87, 3,660.31 and 1,945.45 is: 2,683.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.87 : 3,660.31 = 1,945.45 : x
  2. Step 2: Convert to fraction form
    2,653.87/3,660.31 = 1,945.45/x
  3. Step 3: Cross multiply
    2,653.87x = 3,660.31 × 1,945.45
  4. Step 4: Simplify right side
    2,653.87x = 7,120,950.09
  5. Step 5: Solve for x
    x = 7,120,950.09/2,653.87
  6. Step 6: Final answer
    x = 2,683.23

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Why These Related Problems?

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