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Finding the Fourth Proportional to 7,699.50, 11,549.79 and 3,082.50

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Solution

The fourth proportional to 7,699.50, 11,549.79 and 3,082.50 is: 4,623.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.50 : 11,549.79 = 3,082.50 : x
  2. Step 2: Convert to fraction form
    7,699.50/11,549.79 = 3,082.50/x
  3. Step 3: Cross multiply
    7,699.50x = 11,549.79 × 3,082.50
  4. Step 4: Simplify right side
    7,699.50x = 35,602,227.68
  5. Step 5: Solve for x
    x = 35,602,227.68/7,699.50
  6. Step 6: Final answer
    x = 4,623.97

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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.