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Finding the Fourth Proportional to 2,898.34, 3,993.45 and 1,965.22

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Solution

The fourth proportional to 2,898.34, 3,993.45 and 1,965.22 is: 2,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.34 : 3,993.45 = 1,965.22 : x
  2. Step 2: Convert to fraction form
    2,898.34/3,993.45 = 1,965.22/x
  3. Step 3: Cross multiply
    2,898.34x = 3,993.45 × 1,965.22
  4. Step 4: Simplify right side
    2,898.34x = 7,848,007.81
  5. Step 5: Solve for x
    x = 7,848,007.81/2,898.34
  6. Step 6: Final answer
    x = 2,707.76

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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.