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Finding the Fourth Proportional to 11,819.74, 17,735.79 and 7,658.67

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Solution

The fourth proportional to 11,819.74, 17,735.79 and 7,658.67 is: 11,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.74 : 17,735.79 = 7,658.67 : x
  2. Step 2: Convert to fraction form
    11,819.74/17,735.79 = 7,658.67/x
  3. Step 3: Cross multiply
    11,819.74x = 17,735.79 × 7,658.67
  4. Step 4: Simplify right side
    11,819.74x = 135,832,562.80
  5. Step 5: Solve for x
    x = 135,832,562.80/11,819.74
  6. Step 6: Final answer
    x = 11,492.01

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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.