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Finding the Fourth Proportional to 2,749.38, 4,124.09 and 669.39

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Solution

The fourth proportional to 2,749.38, 4,124.09 and 669.39 is: 1,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,749.38 : 4,124.09 = 669.39 : x
  2. Step 2: Convert to fraction form
    2,749.38/4,124.09 = 669.39/x
  3. Step 3: Cross multiply
    2,749.38x = 4,124.09 × 669.39
  4. Step 4: Simplify right side
    2,749.38x = 2,760,621.26
  5. Step 5: Solve for x
    x = 2,760,621.26/2,749.38
  6. Step 6: Final answer
    x = 1,004.09

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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.