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Finding the Fourth Proportional to 2,028.30, 3,042.36 and 729.72

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Solution

The fourth proportional to 2,028.30, 3,042.36 and 729.72 is: 1,094.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.30 : 3,042.36 = 729.72 : x
  2. Step 2: Convert to fraction form
    2,028.30/3,042.36 = 729.72/x
  3. Step 3: Cross multiply
    2,028.30x = 3,042.36 × 729.72
  4. Step 4: Simplify right side
    2,028.30x = 2,220,070.94
  5. Step 5: Solve for x
    x = 2,220,070.94/2,028.30
  6. Step 6: Final answer
    x = 1,094.55

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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.