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Finding the Fourth Proportional to 26,198, 39,304.20 and 7,730

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Solution

The fourth proportional to 26,198, 39,304.20 and 7,730 is: 11,597.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,198 : 39,304.20 = 7,730 : x
  2. Step 2: Convert to fraction form
    26,198/39,304.20 = 7,730/x
  3. Step 3: Cross multiply
    26,198x = 39,304.20 × 7,730
  4. Step 4: Simplify right side
    26,198x = 303,821,466
  5. Step 5: Solve for x
    x = 303,821,466/26,198
  6. Step 6: Final answer
    x = 11,597.12

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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.