Home / 2,741.28-3,782.72-1,562.24

Finding the Fourth Proportional to 2,741.28, 3,782.72 and 1,562.24

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Solution

The fourth proportional to 2,741.28, 3,782.72 and 1,562.24 is: 2,155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.28 : 3,782.72 = 1,562.24 : x
  2. Step 2: Convert to fraction form
    2,741.28/3,782.72 = 1,562.24/x
  3. Step 3: Cross multiply
    2,741.28x = 3,782.72 × 1,562.24
  4. Step 4: Simplify right side
    2,741.28x = 5,909,516.49
  5. Step 5: Solve for x
    x = 5,909,516.49/2,741.28
  6. Step 6: Final answer
    x = 2,155.75

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