Home / 3,878.24-5,813.76-1,412.48

Finding the Fourth Proportional to 3,878.24, 5,813.76 and 1,412.48

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Solution

The fourth proportional to 3,878.24, 5,813.76 and 1,412.48 is: 2,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.24 : 5,813.76 = 1,412.48 : x
  2. Step 2: Convert to fraction form
    3,878.24/5,813.76 = 1,412.48/x
  3. Step 3: Cross multiply
    3,878.24x = 5,813.76 × 1,412.48
  4. Step 4: Simplify right side
    3,878.24x = 8,211,819.72
  5. Step 5: Solve for x
    x = 8,211,819.72/3,878.24
  6. Step 6: Final answer
    x = 2,117.41

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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.