Home / 2,741.22-3,782.90-1,562.28

Finding the Fourth Proportional to 2,741.22, 3,782.90 and 1,562.28

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Solution

The fourth proportional to 2,741.22, 3,782.90 and 1,562.28 is: 2,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.22 : 3,782.90 = 1,562.28 : x
  2. Step 2: Convert to fraction form
    2,741.22/3,782.90 = 1,562.28/x
  3. Step 3: Cross multiply
    2,741.22x = 3,782.90 × 1,562.28
  4. Step 4: Simplify right side
    2,741.22x = 5,909,949.01
  5. Step 5: Solve for x
    x = 5,909,949.01/2,741.22
  6. Step 6: Final answer
    x = 2,155.96

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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.