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Finding the Fourth Proportional to 4,879.62, 6,733.85 and 2,641.50

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Solution

The fourth proportional to 4,879.62, 6,733.85 and 2,641.50 is: 3,645.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879.62 : 6,733.85 = 2,641.50 : x
  2. Step 2: Convert to fraction form
    4,879.62/6,733.85 = 2,641.50/x
  3. Step 3: Cross multiply
    4,879.62x = 6,733.85 × 2,641.50
  4. Step 4: Simplify right side
    4,879.62x = 17,787,451.57
  5. Step 5: Solve for x
    x = 17,787,451.57/4,879.62
  6. Step 6: Final answer
    x = 3,645.25

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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.