Home / 1,424.43-2,137.37-961.24

Finding the Fourth Proportional to 1,424.43, 2,137.37 and 961.24

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Solution

The fourth proportional to 1,424.43, 2,137.37 and 961.24 is: 1,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.43 : 2,137.37 = 961.24 : x
  2. Step 2: Convert to fraction form
    1,424.43/2,137.37 = 961.24/x
  3. Step 3: Cross multiply
    1,424.43x = 2,137.37 × 961.24
  4. Step 4: Simplify right side
    1,424.43x = 2,054,510.05
  5. Step 5: Solve for x
    x = 2,054,510.05/1,424.43
  6. Step 6: Final answer
    x = 1,442.34

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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.