Home / 4,229.76-6,342.36-1,920

Finding the Fourth Proportional to 4,229.76, 6,342.36 and 1,920

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Solution

The fourth proportional to 4,229.76, 6,342.36 and 1,920 is: 2,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,229.76 : 6,342.36 = 1,920 : x
  2. Step 2: Convert to fraction form
    4,229.76/6,342.36 = 1,920/x
  3. Step 3: Cross multiply
    4,229.76x = 6,342.36 × 1,920
  4. Step 4: Simplify right side
    4,229.76x = 12,177,331.20
  5. Step 5: Solve for x
    x = 12,177,331.20/4,229.76
  6. Step 6: Final answer
    x = 2,878.97

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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.