Home / 1,577.27-2,361.44-835.19

Finding the Fourth Proportional to 1,577.27, 2,361.44 and 835.19

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Solution

The fourth proportional to 1,577.27, 2,361.44 and 835.19 is: 1,250.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.27 : 2,361.44 = 835.19 : x
  2. Step 2: Convert to fraction form
    1,577.27/2,361.44 = 835.19/x
  3. Step 3: Cross multiply
    1,577.27x = 2,361.44 × 835.19
  4. Step 4: Simplify right side
    1,577.27x = 1,972,246.90
  5. Step 5: Solve for x
    x = 1,972,246.90/1,577.27
  6. Step 6: Final answer
    x = 1,250.42

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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.