Home / 1,983.64-2,734.25-1,563.30

Finding the Fourth Proportional to 1,983.64, 2,734.25 and 1,563.30

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Solution

The fourth proportional to 1,983.64, 2,734.25 and 1,563.30 is: 2,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.64 : 2,734.25 = 1,563.30 : x
  2. Step 2: Convert to fraction form
    1,983.64/2,734.25 = 1,563.30/x
  3. Step 3: Cross multiply
    1,983.64x = 2,734.25 × 1,563.30
  4. Step 4: Simplify right side
    1,983.64x = 4,274,453.03
  5. Step 5: Solve for x
    x = 4,274,453.03/1,983.64
  6. Step 6: Final answer
    x = 2,154.85

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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.