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Finding the Fourth Proportional to 11,770.70, 17,656.05 and 7,391.23

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Solution

The fourth proportional to 11,770.70, 17,656.05 and 7,391.23 is: 11,086.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.70 : 17,656.05 = 7,391.23 : x
  2. Step 2: Convert to fraction form
    11,770.70/17,656.05 = 7,391.23/x
  3. Step 3: Cross multiply
    11,770.70x = 17,656.05 × 7,391.23
  4. Step 4: Simplify right side
    11,770.70x = 130,499,988.55
  5. Step 5: Solve for x
    x = 130,499,988.55/11,770.70
  6. Step 6: Final answer
    x = 11,086.85

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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.