Home / 1,419.30-2,128.01-725.13

Finding the Fourth Proportional to 1,419.30, 2,128.01 and 725.13

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Solution

The fourth proportional to 1,419.30, 2,128.01 and 725.13 is: 1,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.30 : 2,128.01 = 725.13 : x
  2. Step 2: Convert to fraction form
    1,419.30/2,128.01 = 725.13/x
  3. Step 3: Cross multiply
    1,419.30x = 2,128.01 × 725.13
  4. Step 4: Simplify right side
    1,419.30x = 1,543,080.27
  5. Step 5: Solve for x
    x = 1,543,080.27/1,419.30
  6. Step 6: Final answer
    x = 1,087.21

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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.