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Finding the Fourth Proportional to 13,830.68, 20,742.78 and 3,968.12

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Solution

The fourth proportional to 13,830.68, 20,742.78 and 3,968.12 is: 5,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.68 : 20,742.78 = 3,968.12 : x
  2. Step 2: Convert to fraction form
    13,830.68/20,742.78 = 3,968.12/x
  3. Step 3: Cross multiply
    13,830.68x = 20,742.78 × 3,968.12
  4. Step 4: Simplify right side
    13,830.68x = 82,309,840.17
  5. Step 5: Solve for x
    x = 82,309,840.17/13,830.68
  6. Step 6: Final answer
    x = 5,951.25

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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.