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Finding the Fourth Proportional to 2,112.70, 3,169.20 and 651.85

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Solution

The fourth proportional to 2,112.70, 3,169.20 and 651.85 is: 977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.70 : 3,169.20 = 651.85 : x
  2. Step 2: Convert to fraction form
    2,112.70/3,169.20 = 651.85/x
  3. Step 3: Cross multiply
    2,112.70x = 3,169.20 × 651.85
  4. Step 4: Simplify right side
    2,112.70x = 2,065,843.02
  5. Step 5: Solve for x
    x = 2,065,843.02/2,112.70
  6. Step 6: Final answer
    x = 977.82

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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.