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Finding the Fourth Proportional to 5,523.74, 7,623.92 and 3,638.37

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Solution

The fourth proportional to 5,523.74, 7,623.92 and 3,638.37 is: 5,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.74 : 7,623.92 = 3,638.37 : x
  2. Step 2: Convert to fraction form
    5,523.74/7,623.92 = 3,638.37/x
  3. Step 3: Cross multiply
    5,523.74x = 7,623.92 × 3,638.37
  4. Step 4: Simplify right side
    5,523.74x = 27,738,636.61
  5. Step 5: Solve for x
    x = 27,738,636.61/5,523.74
  6. Step 6: Final answer
    x = 5,021.71

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1.5x scale

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.