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Finding the Fourth Proportional to 13,914.60, 20,874.20 and 6,894.95

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Solution

The fourth proportional to 13,914.60, 20,874.20 and 6,894.95 is: 10,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.60 : 20,874.20 = 6,894.95 : x
  2. Step 2: Convert to fraction form
    13,914.60/20,874.20 = 6,894.95/x
  3. Step 3: Cross multiply
    13,914.60x = 20,874.20 × 6,894.95
  4. Step 4: Simplify right side
    13,914.60x = 143,926,426.44
  5. Step 5: Solve for x
    x = 143,926,426.44/13,914.60
  6. Step 6: Final answer
    x = 10,343.55

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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.