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Finding the Fourth Proportional to 13,874.40, 20,811.60 and 4,515.30

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Solution

The fourth proportional to 13,874.40, 20,811.60 and 4,515.30 is: 6,772.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,874.40 : 20,811.60 = 4,515.30 : x
  2. Step 2: Convert to fraction form
    13,874.40/20,811.60 = 4,515.30/x
  3. Step 3: Cross multiply
    13,874.40x = 20,811.60 × 4,515.30
  4. Step 4: Simplify right side
    13,874.40x = 93,970,617.48
  5. Step 5: Solve for x
    x = 93,970,617.48/13,874.40
  6. Step 6: Final answer
    x = 6,772.95

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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.