Home / 1,914.24-2,871.36-546.24

Finding the Fourth Proportional to 1,914.24, 2,871.36 and 546.24

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Solution

The fourth proportional to 1,914.24, 2,871.36 and 546.24 is: 819.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,914.24 : 2,871.36 = 546.24 : x
  2. Step 2: Convert to fraction form
    1,914.24/2,871.36 = 546.24/x
  3. Step 3: Cross multiply
    1,914.24x = 2,871.36 × 546.24
  4. Step 4: Simplify right side
    1,914.24x = 1,568,451.69
  5. Step 5: Solve for x
    x = 1,568,451.69/1,914.24
  6. Step 6: Final answer
    x = 819.36

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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.