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Finding the Fourth Proportional to 7,665.39, 10,553.99 and 6,964.67

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Solution

The fourth proportional to 7,665.39, 10,553.99 and 6,964.67 is: 9,589.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.39 : 10,553.99 = 6,964.67 : x
  2. Step 2: Convert to fraction form
    7,665.39/10,553.99 = 6,964.67/x
  3. Step 3: Cross multiply
    7,665.39x = 10,553.99 × 6,964.67
  4. Step 4: Simplify right side
    7,665.39x = 73,505,057.53
  5. Step 5: Solve for x
    x = 73,505,057.53/7,665.39
  6. Step 6: Final answer
    x = 9,589.21

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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.