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Finding the Fourth Proportional to 7,689.09, 11,537.07 and 3,738.18

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Solution

The fourth proportional to 7,689.09, 11,537.07 and 3,738.18 is: 5,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.09 : 11,537.07 = 3,738.18 : x
  2. Step 2: Convert to fraction form
    7,689.09/11,537.07 = 3,738.18/x
  3. Step 3: Cross multiply
    7,689.09x = 11,537.07 × 3,738.18
  4. Step 4: Simplify right side
    7,689.09x = 43,127,644.33
  5. Step 5: Solve for x
    x = 43,127,644.33/7,689.09
  6. Step 6: Final answer
    x = 5,608.94

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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.