Home / 1,819-2,509.38-1,295.32

Finding the Fourth Proportional to 1,819, 2,509.38 and 1,295.32

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Solution

The fourth proportional to 1,819, 2,509.38 and 1,295.32 is: 1,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,819 : 2,509.38 = 1,295.32 : x
  2. Step 2: Convert to fraction form
    1,819/2,509.38 = 1,295.32/x
  3. Step 3: Cross multiply
    1,819x = 2,509.38 × 1,295.32
  4. Step 4: Simplify right side
    1,819x = 3,250,450.10
  5. Step 5: Solve for x
    x = 3,250,450.10/1,819
  6. Step 6: Final answer
    x = 1,786.94

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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.