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Finding the Fourth Proportional to 13,384.40, 20,033.40 and 10,446.80

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Solution

The fourth proportional to 13,384.40, 20,033.40 and 10,446.80 is: 15,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.40 : 20,033.40 = 10,446.80 : x
  2. Step 2: Convert to fraction form
    13,384.40/20,033.40 = 10,446.80/x
  3. Step 3: Cross multiply
    13,384.40x = 20,033.40 × 10,446.80
  4. Step 4: Simplify right side
    13,384.40x = 209,284,923.12
  5. Step 5: Solve for x
    x = 209,284,923.12/13,384.40
  6. Step 6: Final answer
    x = 15,636.48

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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.