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Finding the Fourth Proportional to 11,770.80, 17,720.34 and 10,163.76

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Solution

The fourth proportional to 11,770.80, 17,720.34 and 10,163.76 is: 15,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.80 : 17,720.34 = 10,163.76 : x
  2. Step 2: Convert to fraction form
    11,770.80/17,720.34 = 10,163.76/x
  3. Step 3: Cross multiply
    11,770.80x = 17,720.34 × 10,163.76
  4. Step 4: Simplify right side
    11,770.80x = 180,105,282.88
  5. Step 5: Solve for x
    x = 180,105,282.88/11,770.80
  6. Step 6: Final answer
    x = 15,301.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.