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Finding the Fourth Proportional to 2,582.39, 3,873.57 and 851

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Solution

The fourth proportional to 2,582.39, 3,873.57 and 851 is: 1,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,582.39 : 3,873.57 = 851 : x
  2. Step 2: Convert to fraction form
    2,582.39/3,873.57 = 851/x
  3. Step 3: Cross multiply
    2,582.39x = 3,873.57 × 851
  4. Step 4: Simplify right side
    2,582.39x = 3,296,408.07
  5. Step 5: Solve for x
    x = 3,296,408.07/2,582.39
  6. Step 6: Final answer
    x = 1,276.50

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1.5x scale

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.