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Finding the Fourth Proportional to 2,028.43, 3,042.64 and 730.00

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Solution

The fourth proportional to 2,028.43, 3,042.64 and 730.00 is: 1,094.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.43 : 3,042.64 = 730.00 : x
  2. Step 2: Convert to fraction form
    2,028.43/3,042.64 = 730.00/x
  3. Step 3: Cross multiply
    2,028.43x = 3,042.64 × 730.00
  4. Step 4: Simplify right side
    2,028.43x = 2,221,111.99
  5. Step 5: Solve for x
    x = 2,221,111.99/2,028.43
  6. Step 6: Final answer
    x = 1,094.99

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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.