Home / 1,419.07-1,958.21-821.61

Finding the Fourth Proportional to 1,419.07, 1,958.21 and 821.61

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Solution

The fourth proportional to 1,419.07, 1,958.21 and 821.61 is: 1,133.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.07 : 1,958.21 = 821.61 : x
  2. Step 2: Convert to fraction form
    1,419.07/1,958.21 = 821.61/x
  3. Step 3: Cross multiply
    1,419.07x = 1,958.21 × 821.61
  4. Step 4: Simplify right side
    1,419.07x = 1,608,884.92
  5. Step 5: Solve for x
    x = 1,608,884.92/1,419.07
  6. Step 6: Final answer
    x = 1,133.76

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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.