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Finding the Fourth Proportional to 9,761.10, 13,467 and 7,965.42

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Solution

The fourth proportional to 9,761.10, 13,467 and 7,965.42 is: 10,989.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.10 : 13,467 = 7,965.42 : x
  2. Step 2: Convert to fraction form
    9,761.10/13,467 = 7,965.42/x
  3. Step 3: Cross multiply
    9,761.10x = 13,467 × 7,965.42
  4. Step 4: Simplify right side
    9,761.10x = 107,270,311.14
  5. Step 5: Solve for x
    x = 107,270,311.14/9,761.10
  6. Step 6: Final answer
    x = 10,989.57

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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.