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Finding the Fourth Proportional to 7,758.38, 11,638.49 and 3,599.44

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Solution

The fourth proportional to 7,758.38, 11,638.49 and 3,599.44 is: 5,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.38 : 11,638.49 = 3,599.44 : x
  2. Step 2: Convert to fraction form
    7,758.38/11,638.49 = 3,599.44/x
  3. Step 3: Cross multiply
    7,758.38x = 11,638.49 × 3,599.44
  4. Step 4: Simplify right side
    7,758.38x = 41,891,999.35
  5. Step 5: Solve for x
    x = 41,891,999.35/7,758.38
  6. Step 6: Final answer
    x = 5,399.58

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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.