Home / 3,454-4,764.60-2,257.32

Finding the Fourth Proportional to 3,454, 4,764.60 and 2,257.32

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Solution

The fourth proportional to 3,454, 4,764.60 and 2,257.32 is: 3,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454 : 4,764.60 = 2,257.32 : x
  2. Step 2: Convert to fraction form
    3,454/4,764.60 = 2,257.32/x
  3. Step 3: Cross multiply
    3,454x = 4,764.60 × 2,257.32
  4. Step 4: Simplify right side
    3,454x = 10,755,226.87
  5. Step 5: Solve for x
    x = 10,755,226.87/3,454
  6. Step 6: Final answer
    x = 3,113.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.