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Finding the Fourth Proportional to 9,665.28, 13,364.93 and 7,672.38

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Solution

The fourth proportional to 9,665.28, 13,364.93 and 7,672.38 is: 10,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.28 : 13,364.93 = 7,672.38 : x
  2. Step 2: Convert to fraction form
    9,665.28/13,364.93 = 7,672.38/x
  3. Step 3: Cross multiply
    9,665.28x = 13,364.93 × 7,672.38
  4. Step 4: Simplify right side
    9,665.28x = 102,540,716.45
  5. Step 5: Solve for x
    x = 102,540,716.45/9,665.28
  6. Step 6: Final answer
    x = 10,609.18

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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.