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Finding the Fourth Proportional to 3,451.84, 4,763.46 and 1,879.90

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Solution

The fourth proportional to 3,451.84, 4,763.46 and 1,879.90 is: 2,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.84 : 4,763.46 = 1,879.90 : x
  2. Step 2: Convert to fraction form
    3,451.84/4,763.46 = 1,879.90/x
  3. Step 3: Cross multiply
    3,451.84x = 4,763.46 × 1,879.90
  4. Step 4: Simplify right side
    3,451.84x = 8,954,828.45
  5. Step 5: Solve for x
    x = 8,954,828.45/3,451.84
  6. Step 6: Final answer
    x = 2,594.22

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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.