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Finding the Fourth Proportional to 7,751.78, 11,627.68 and 2,279.78

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Solution

The fourth proportional to 7,751.78, 11,627.68 and 2,279.78 is: 3,419.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.78 : 11,627.68 = 2,279.78 : x
  2. Step 2: Convert to fraction form
    7,751.78/11,627.68 = 2,279.78/x
  3. Step 3: Cross multiply
    7,751.78x = 11,627.68 × 2,279.78
  4. Step 4: Simplify right side
    7,751.78x = 26,508,540.91
  5. Step 5: Solve for x
    x = 26,508,540.91/7,751.78
  6. Step 6: Final answer
    x = 3,419.67

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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.