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Finding the Fourth Proportional to 23,213.40, 34,811.94 and 8,419.80

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Solution

The fourth proportional to 23,213.40, 34,811.94 and 8,419.80 is: 12,626.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,213.40 : 34,811.94 = 8,419.80 : x
  2. Step 2: Convert to fraction form
    23,213.40/34,811.94 = 8,419.80/x
  3. Step 3: Cross multiply
    23,213.40x = 34,811.94 × 8,419.80
  4. Step 4: Simplify right side
    23,213.40x = 293,109,572.41
  5. Step 5: Solve for x
    x = 293,109,572.41/23,213.40
  6. Step 6: Final answer
    x = 12,626.74

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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.