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Finding the Fourth Proportional to 8,811.40, 13,221.90 and 3,617.80

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Solution

The fourth proportional to 8,811.40, 13,221.90 and 3,617.80 is: 5,428.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,811.40 : 13,221.90 = 3,617.80 : x
  2. Step 2: Convert to fraction form
    8,811.40/13,221.90 = 3,617.80/x
  3. Step 3: Cross multiply
    8,811.40x = 13,221.90 × 3,617.80
  4. Step 4: Simplify right side
    8,811.40x = 47,834,189.82
  5. Step 5: Solve for x
    x = 47,834,189.82/8,811.40
  6. Step 6: Final answer
    x = 5,428.67

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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.