Home / 2,042.26-3,064.75-1,312.36

Finding the Fourth Proportional to 2,042.26, 3,064.75 and 1,312.36

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Solution

The fourth proportional to 2,042.26, 3,064.75 and 1,312.36 is: 1,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.26 : 3,064.75 = 1,312.36 : x
  2. Step 2: Convert to fraction form
    2,042.26/3,064.75 = 1,312.36/x
  3. Step 3: Cross multiply
    2,042.26x = 3,064.75 × 1,312.36
  4. Step 4: Simplify right side
    2,042.26x = 4,022,044.37
  5. Step 5: Solve for x
    x = 4,022,044.37/2,042.26
  6. Step 6: Final answer
    x = 1,969.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.