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Finding the Fourth Proportional to 26,197, 39,302.70 and 7,729

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Solution

The fourth proportional to 26,197, 39,302.70 and 7,729 is: 11,595.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,197 : 39,302.70 = 7,729 : x
  2. Step 2: Convert to fraction form
    26,197/39,302.70 = 7,729/x
  3. Step 3: Cross multiply
    26,197x = 39,302.70 × 7,729
  4. Step 4: Simplify right side
    26,197x = 303,770,568.30
  5. Step 5: Solve for x
    x = 303,770,568.30/26,197
  6. Step 6: Final answer
    x = 11,595.62

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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.