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Finding the Fourth Proportional to 11,770.50, 17,655.71 and 7,391.03

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Solution

The fourth proportional to 11,770.50, 17,655.71 and 7,391.03 is: 11,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.50 : 17,655.71 = 7,391.03 : x
  2. Step 2: Convert to fraction form
    11,770.50/17,655.71 = 7,391.03/x
  3. Step 3: Cross multiply
    11,770.50x = 17,655.71 × 7,391.03
  4. Step 4: Simplify right side
    11,770.50x = 130,493,882.28
  5. Step 5: Solve for x
    x = 130,493,882.28/11,770.50
  6. Step 6: Final answer
    x = 11,086.52

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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.