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Finding the Fourth Proportional to 2,112.49, 3,169.19 and 651.75

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Solution

The fourth proportional to 2,112.49, 3,169.19 and 651.75 is: 977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.49 : 3,169.19 = 651.75 : x
  2. Step 2: Convert to fraction form
    2,112.49/3,169.19 = 651.75/x
  3. Step 3: Cross multiply
    2,112.49x = 3,169.19 × 651.75
  4. Step 4: Simplify right side
    2,112.49x = 2,065,519.58
  5. Step 5: Solve for x
    x = 2,065,519.58/2,112.49
  6. Step 6: Final answer
    x = 977.77

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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.