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Finding the Fourth Proportional to 13,847.21, 20,737.70 and 7,986.05

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Solution

The fourth proportional to 13,847.21, 20,737.70 and 7,986.05 is: 11,959.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,847.21 : 20,737.70 = 7,986.05 : x
  2. Step 2: Convert to fraction form
    13,847.21/20,737.70 = 7,986.05/x
  3. Step 3: Cross multiply
    13,847.21x = 20,737.70 × 7,986.05
  4. Step 4: Simplify right side
    13,847.21x = 165,612,309.09
  5. Step 5: Solve for x
    x = 165,612,309.09/13,847.21
  6. Step 6: Final answer
    x = 11,959.98

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1.5x scale

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.