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Finding the Fourth Proportional to 13,871.10, 20,793.15 and 7,941.90

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Solution

The fourth proportional to 13,871.10, 20,793.15 and 7,941.90 is: 11,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,871.10 : 20,793.15 = 7,941.90 : x
  2. Step 2: Convert to fraction form
    13,871.10/20,793.15 = 7,941.90/x
  3. Step 3: Cross multiply
    13,871.10x = 20,793.15 × 7,941.90
  4. Step 4: Simplify right side
    13,871.10x = 165,137,117.99
  5. Step 5: Solve for x
    x = 165,137,117.99/13,871.10
  6. Step 6: Final answer
    x = 11,905.12

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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.