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Finding the Fourth Proportional to 8,399.70, 11,591 and 4,623.18

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Solution

The fourth proportional to 8,399.70, 11,591 and 4,623.18 is: 6,379.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399.70 : 11,591 = 4,623.18 : x
  2. Step 2: Convert to fraction form
    8,399.70/11,591 = 4,623.18/x
  3. Step 3: Cross multiply
    8,399.70x = 11,591 × 4,623.18
  4. Step 4: Simplify right side
    8,399.70x = 53,587,279.38
  5. Step 5: Solve for x
    x = 53,587,279.38/8,399.70
  6. Step 6: Final answer
    x = 6,379.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.