Home / 2,028.88-3,042.36-712.40

Finding the Fourth Proportional to 2,028.88, 3,042.36 and 712.40

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Solution

The fourth proportional to 2,028.88, 3,042.36 and 712.40 is: 1,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.88 : 3,042.36 = 712.40 : x
  2. Step 2: Convert to fraction form
    2,028.88/3,042.36 = 712.40/x
  3. Step 3: Cross multiply
    2,028.88x = 3,042.36 × 712.40
  4. Step 4: Simplify right side
    2,028.88x = 2,167,377.26
  5. Step 5: Solve for x
    x = 2,167,377.26/2,028.88
  6. Step 6: Final answer
    x = 1,068.26

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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.