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Finding the Fourth Proportional to 7,162.79, 9,882.27 and 4,331.03

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Solution

The fourth proportional to 7,162.79, 9,882.27 and 4,331.03 is: 5,975.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.79 : 9,882.27 = 4,331.03 : x
  2. Step 2: Convert to fraction form
    7,162.79/9,882.27 = 4,331.03/x
  3. Step 3: Cross multiply
    7,162.79x = 9,882.27 × 4,331.03
  4. Step 4: Simplify right side
    7,162.79x = 42,800,358.43
  5. Step 5: Solve for x
    x = 42,800,358.43/7,162.79
  6. Step 6: Final answer
    x = 5,975.38

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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.