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Finding the Fourth Proportional to 2,682.50, 4,023.77 and 833.57

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Solution

The fourth proportional to 2,682.50, 4,023.77 and 833.57 is: 1,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.50 : 4,023.77 = 833.57 : x
  2. Step 2: Convert to fraction form
    2,682.50/4,023.77 = 833.57/x
  3. Step 3: Cross multiply
    2,682.50x = 4,023.77 × 833.57
  4. Step 4: Simplify right side
    2,682.50x = 3,354,089.79
  5. Step 5: Solve for x
    x = 3,354,089.79/2,682.50
  6. Step 6: Final answer
    x = 1,250.36

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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.