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Finding the Fourth Proportional to 13,434.48, 18,540.90 and 7,769.48

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Solution

The fourth proportional to 13,434.48, 18,540.90 and 7,769.48 is: 10,722.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,434.48 : 18,540.90 = 7,769.48 : x
  2. Step 2: Convert to fraction form
    13,434.48/18,540.90 = 7,769.48/x
  3. Step 3: Cross multiply
    13,434.48x = 18,540.90 × 7,769.48
  4. Step 4: Simplify right side
    13,434.48x = 144,053,059.03
  5. Step 5: Solve for x
    x = 144,053,059.03/13,434.48
  6. Step 6: Final answer
    x = 10,722.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.