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Finding the Fourth Proportional to 13,812.35, 20,718 and 3,951.60

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Solution

The fourth proportional to 13,812.35, 20,718 and 3,951.60 is: 5,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.35 : 20,718 = 3,951.60 : x
  2. Step 2: Convert to fraction form
    13,812.35/20,718 = 3,951.60/x
  3. Step 3: Cross multiply
    13,812.35x = 20,718 × 3,951.60
  4. Step 4: Simplify right side
    13,812.35x = 81,869,248.80
  5. Step 5: Solve for x
    x = 81,869,248.80/13,812.35
  6. Step 6: Final answer
    x = 5,927.25

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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.