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Finding the Fourth Proportional to 1,749.38, 2,414.43 and 1,050.62

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Solution

The fourth proportional to 1,749.38, 2,414.43 and 1,050.62 is: 1,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.38 : 2,414.43 = 1,050.62 : x
  2. Step 2: Convert to fraction form
    1,749.38/2,414.43 = 1,050.62/x
  3. Step 3: Cross multiply
    1,749.38x = 2,414.43 × 1,050.62
  4. Step 4: Simplify right side
    1,749.38x = 2,536,636.37
  5. Step 5: Solve for x
    x = 2,536,636.37/1,749.38
  6. Step 6: Final answer
    x = 1,450.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.