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Finding the Fourth Proportional to 7,286.69, 10,938.72 and 6,989.62

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Solution

The fourth proportional to 7,286.69, 10,938.72 and 6,989.62 is: 10,492.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.69 : 10,938.72 = 6,989.62 : x
  2. Step 2: Convert to fraction form
    7,286.69/10,938.72 = 6,989.62/x
  3. Step 3: Cross multiply
    7,286.69x = 10,938.72 × 6,989.62
  4. Step 4: Simplify right side
    7,286.69x = 76,457,496.09
  5. Step 5: Solve for x
    x = 76,457,496.09/7,286.69
  6. Step 6: Final answer
    x = 10,492.76

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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.