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Finding the Fourth Proportional to 2,028.52, 3,042.42 and 712.45

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Solution

The fourth proportional to 2,028.52, 3,042.42 and 712.45 is: 1,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.52 : 3,042.42 = 712.45 : x
  2. Step 2: Convert to fraction form
    2,028.52/3,042.42 = 712.45/x
  3. Step 3: Cross multiply
    2,028.52x = 3,042.42 × 712.45
  4. Step 4: Simplify right side
    2,028.52x = 2,167,572.13
  5. Step 5: Solve for x
    x = 2,167,572.13/2,028.52
  6. Step 6: Final answer
    x = 1,068.55

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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.