Home / 2,852-3,933.60-1,969.28

Finding the Fourth Proportional to 2,852, 3,933.60 and 1,969.28

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Solution

The fourth proportional to 2,852, 3,933.60 and 1,969.28 is: 2,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852 : 3,933.60 = 1,969.28 : x
  2. Step 2: Convert to fraction form
    2,852/3,933.60 = 1,969.28/x
  3. Step 3: Cross multiply
    2,852x = 3,933.60 × 1,969.28
  4. Step 4: Simplify right side
    2,852x = 7,746,359.81
  5. Step 5: Solve for x
    x = 7,746,359.81/2,852
  6. Step 6: Final answer
    x = 2,716.11

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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.