Home / 2,896-3,982.72-2,299.52

Finding the Fourth Proportional to 2,896, 3,982.72 and 2,299.52

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Solution

The fourth proportional to 2,896, 3,982.72 and 2,299.52 is: 3,162.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896 : 3,982.72 = 2,299.52 : x
  2. Step 2: Convert to fraction form
    2,896/3,982.72 = 2,299.52/x
  3. Step 3: Cross multiply
    2,896x = 3,982.72 × 2,299.52
  4. Step 4: Simplify right side
    2,896x = 9,158,344.29
  5. Step 5: Solve for x
    x = 9,158,344.29/2,896
  6. Step 6: Final answer
    x = 3,162.41

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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.