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Finding the Fourth Proportional to 2,556.77, 3,834.87 and 890.60

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Solution

The fourth proportional to 2,556.77, 3,834.87 and 890.60 is: 1,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,556.77 : 3,834.87 = 890.60 : x
  2. Step 2: Convert to fraction form
    2,556.77/3,834.87 = 890.60/x
  3. Step 3: Cross multiply
    2,556.77x = 3,834.87 × 890.60
  4. Step 4: Simplify right side
    2,556.77x = 3,415,316.05
  5. Step 5: Solve for x
    x = 3,415,316.05/2,556.77
  6. Step 6: Final answer
    x = 1,335.80

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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.