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Finding the Fourth Proportional to 2,028.50, 3,042.08 and 917.23

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Solution

The fourth proportional to 2,028.50, 3,042.08 and 917.23 is: 1,375.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.50 : 3,042.08 = 917.23 : x
  2. Step 2: Convert to fraction form
    2,028.50/3,042.08 = 917.23/x
  3. Step 3: Cross multiply
    2,028.50x = 3,042.08 × 917.23
  4. Step 4: Simplify right side
    2,028.50x = 2,790,267.24
  5. Step 5: Solve for x
    x = 2,790,267.24/2,028.50
  6. Step 6: Final answer
    x = 1,375.53

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1.5x scale

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.