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Finding the Fourth Proportional to 7,225.82, 9,971.82 and 4,082

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Solution

The fourth proportional to 7,225.82, 9,971.82 and 4,082 is: 5,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,225.82 : 9,971.82 = 4,082 : x
  2. Step 2: Convert to fraction form
    7,225.82/9,971.82 = 4,082/x
  3. Step 3: Cross multiply
    7,225.82x = 9,971.82 × 4,082
  4. Step 4: Simplify right side
    7,225.82x = 40,704,969.24
  5. Step 5: Solve for x
    x = 40,704,969.24/7,225.82
  6. Step 6: Final answer
    x = 5,633.27

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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.