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Finding the Fourth Proportional to 7,879.68, 11,812.23 and 4,414.50

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Solution

The fourth proportional to 7,879.68, 11,812.23 and 4,414.50 is: 6,617.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.68 : 11,812.23 = 4,414.50 : x
  2. Step 2: Convert to fraction form
    7,879.68/11,812.23 = 4,414.50/x
  3. Step 3: Cross multiply
    7,879.68x = 11,812.23 × 4,414.50
  4. Step 4: Simplify right side
    7,879.68x = 52,145,089.34
  5. Step 5: Solve for x
    x = 52,145,089.34/7,879.68
  6. Step 6: Final answer
    x = 6,617.67

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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.