Home / 1,406.12-2,110.46-713.26

Finding the Fourth Proportional to 1,406.12, 2,110.46 and 713.26

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Solution

The fourth proportional to 1,406.12, 2,110.46 and 713.26 is: 1,070.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.12 : 2,110.46 = 713.26 : x
  2. Step 2: Convert to fraction form
    1,406.12/2,110.46 = 713.26/x
  3. Step 3: Cross multiply
    1,406.12x = 2,110.46 × 713.26
  4. Step 4: Simplify right side
    1,406.12x = 1,505,304.92
  5. Step 5: Solve for x
    x = 1,505,304.92/1,406.12
  6. Step 6: Final answer
    x = 1,070.54

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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.