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Finding the Fourth Proportional to 2,772.68, 3,825.38 and 1,828.94

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Solution

The fourth proportional to 2,772.68, 3,825.38 and 1,828.94 is: 2,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.68 : 3,825.38 = 1,828.94 : x
  2. Step 2: Convert to fraction form
    2,772.68/3,825.38 = 1,828.94/x
  3. Step 3: Cross multiply
    2,772.68x = 3,825.38 × 1,828.94
  4. Step 4: Simplify right side
    2,772.68x = 6,996,390.50
  5. Step 5: Solve for x
    x = 6,996,390.50/2,772.68
  6. Step 6: Final answer
    x = 2,523.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.