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Finding the Fourth Proportional to 26,272, 39,408 and 7,804

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Solution

The fourth proportional to 26,272, 39,408 and 7,804 is: 11,706

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,272 : 39,408 = 7,804 : x
  2. Step 2: Convert to fraction form
    26,272/39,408 = 7,804/x
  3. Step 3: Cross multiply
    26,272x = 39,408 × 7,804
  4. Step 4: Simplify right side
    26,272x = 307,540,032
  5. Step 5: Solve for x
    x = 307,540,032/26,272
  6. Step 6: Final answer
    x = 11,706

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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.