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Finding the Fourth Proportional to 7,161.99, 9,882.89 and 4,178.08

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Solution

The fourth proportional to 7,161.99, 9,882.89 and 4,178.08 is: 5,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.99 : 9,882.89 = 4,178.08 : x
  2. Step 2: Convert to fraction form
    7,161.99/9,882.89 = 4,178.08/x
  3. Step 3: Cross multiply
    7,161.99x = 9,882.89 × 4,178.08
  4. Step 4: Simplify right side
    7,161.99x = 41,291,505.05
  5. Step 5: Solve for x
    x = 41,291,505.05/7,161.99
  6. Step 6: Final answer
    x = 5,765.37

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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.