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Finding the Fourth Proportional to 13,909.62, 20,878.10 and 10,201.29

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Solution

The fourth proportional to 13,909.62, 20,878.10 and 10,201.29 is: 15,311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.62 : 20,878.10 = 10,201.29 : x
  2. Step 2: Convert to fraction form
    13,909.62/20,878.10 = 10,201.29/x
  3. Step 3: Cross multiply
    13,909.62x = 20,878.10 × 10,201.29
  4. Step 4: Simplify right side
    13,909.62x = 212,983,636.53
  5. Step 5: Solve for x
    x = 212,983,636.53/13,909.62
  6. Step 6: Final answer
    x = 15,311.96

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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.