Home / 1,982.68-2,734.83-1,562.90

Finding the Fourth Proportional to 1,982.68, 2,734.83 and 1,562.90

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Solution

The fourth proportional to 1,982.68, 2,734.83 and 1,562.90 is: 2,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.68 : 2,734.83 = 1,562.90 : x
  2. Step 2: Convert to fraction form
    1,982.68/2,734.83 = 1,562.90/x
  3. Step 3: Cross multiply
    1,982.68x = 2,734.83 × 1,562.90
  4. Step 4: Simplify right side
    1,982.68x = 4,274,252.13
  5. Step 5: Solve for x
    x = 4,274,252.13/1,982.68
  6. Step 6: Final answer
    x = 2,155.80

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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.