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Finding the Fourth Proportional to 13,801.52, 20,677.98 and 8,238.44

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Solution

The fourth proportional to 13,801.52, 20,677.98 and 8,238.44 is: 12,343.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.52 : 20,677.98 = 8,238.44 : x
  2. Step 2: Convert to fraction form
    13,801.52/20,677.98 = 8,238.44/x
  3. Step 3: Cross multiply
    13,801.52x = 20,677.98 × 8,238.44
  4. Step 4: Simplify right side
    13,801.52x = 170,354,297.55
  5. Step 5: Solve for x
    x = 170,354,297.55/13,801.52
  6. Step 6: Final answer
    x = 12,343.15

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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.