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Finding the Fourth Proportional to 2,130.86, 3,198.12 and 833.24

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Solution

The fourth proportional to 2,130.86, 3,198.12 and 833.24 is: 1,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.86 : 3,198.12 = 833.24 : x
  2. Step 2: Convert to fraction form
    2,130.86/3,198.12 = 833.24/x
  3. Step 3: Cross multiply
    2,130.86x = 3,198.12 × 833.24
  4. Step 4: Simplify right side
    2,130.86x = 2,664,781.35
  5. Step 5: Solve for x
    x = 2,664,781.35/2,130.86
  6. Step 6: Final answer
    x = 1,250.57

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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.