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Finding the Fourth Proportional to 2,028.77, 3,043.23 and 642.13

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Solution

The fourth proportional to 2,028.77, 3,043.23 and 642.13 is: 963.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.77 : 3,043.23 = 642.13 : x
  2. Step 2: Convert to fraction form
    2,028.77/3,043.23 = 642.13/x
  3. Step 3: Cross multiply
    2,028.77x = 3,043.23 × 642.13
  4. Step 4: Simplify right side
    2,028.77x = 1,954,141.67
  5. Step 5: Solve for x
    x = 1,954,141.67/2,028.77
  6. Step 6: Final answer
    x = 963.22

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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.