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Finding the Fourth Proportional to 10,713.20, 16,072.20 and 4,138.80

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Solution

The fourth proportional to 10,713.20, 16,072.20 and 4,138.80 is: 6,209.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.20 : 16,072.20 = 4,138.80 : x
  2. Step 2: Convert to fraction form
    10,713.20/16,072.20 = 4,138.80/x
  3. Step 3: Cross multiply
    10,713.20x = 16,072.20 × 4,138.80
  4. Step 4: Simplify right side
    10,713.20x = 66,519,621.36
  5. Step 5: Solve for x
    x = 66,519,621.36/10,713.20
  6. Step 6: Final answer
    x = 6,209.13

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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.