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Finding the Fourth Proportional to 13,821.40, 20,715.90 and 7,244.20

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Solution

The fourth proportional to 13,821.40, 20,715.90 and 7,244.20 is: 10,857.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.40 : 20,715.90 = 7,244.20 : x
  2. Step 2: Convert to fraction form
    13,821.40/20,715.90 = 7,244.20/x
  3. Step 3: Cross multiply
    13,821.40x = 20,715.90 × 7,244.20
  4. Step 4: Simplify right side
    13,821.40x = 150,070,122.78
  5. Step 5: Solve for x
    x = 150,070,122.78/13,821.40
  6. Step 6: Final answer
    x = 10,857.81

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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.