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Finding the Fourth Proportional to 13,942.80, 20,914.20 and 5,624.10

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Solution

The fourth proportional to 13,942.80, 20,914.20 and 5,624.10 is: 8,436.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,942.80 : 20,914.20 = 5,624.10 : x
  2. Step 2: Convert to fraction form
    13,942.80/20,914.20 = 5,624.10/x
  3. Step 3: Cross multiply
    13,942.80x = 20,914.20 × 5,624.10
  4. Step 4: Simplify right side
    13,942.80x = 117,623,552.22
  5. Step 5: Solve for x
    x = 117,623,552.22/13,942.80
  6. Step 6: Final answer
    x = 8,436.15

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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.