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Finding the Fourth Proportional to 13,384.80, 20,077.20 and 11,270.70

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Solution

The fourth proportional to 13,384.80, 20,077.20 and 11,270.70 is: 16,906.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.80 : 20,077.20 = 11,270.70 : x
  2. Step 2: Convert to fraction form
    13,384.80/20,077.20 = 11,270.70/x
  3. Step 3: Cross multiply
    13,384.80x = 20,077.20 × 11,270.70
  4. Step 4: Simplify right side
    13,384.80x = 226,284,098.04
  5. Step 5: Solve for x
    x = 226,284,098.04/13,384.80
  6. Step 6: Final answer
    x = 16,906.05

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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.