Home / 1,419.28-1,958.61-829.87

Finding the Fourth Proportional to 1,419.28, 1,958.61 and 829.87

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Solution

The fourth proportional to 1,419.28, 1,958.61 and 829.87 is: 1,145.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.28 : 1,958.61 = 829.87 : x
  2. Step 2: Convert to fraction form
    1,419.28/1,958.61 = 829.87/x
  3. Step 3: Cross multiply
    1,419.28x = 1,958.61 × 829.87
  4. Step 4: Simplify right side
    1,419.28x = 1,625,391.68
  5. Step 5: Solve for x
    x = 1,625,391.68/1,419.28
  6. Step 6: Final answer
    x = 1,145.22

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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.