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Finding the Fourth Proportional to 27,607.72, 41,408.70 and 7,885

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Solution

The fourth proportional to 27,607.72, 41,408.70 and 7,885 is: 11,826.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,607.72 : 41,408.70 = 7,885 : x
  2. Step 2: Convert to fraction form
    27,607.72/41,408.70 = 7,885/x
  3. Step 3: Cross multiply
    27,607.72x = 41,408.70 × 7,885
  4. Step 4: Simplify right side
    27,607.72x = 326,507,599.50
  5. Step 5: Solve for x
    x = 326,507,599.50/27,607.72
  6. Step 6: Final answer
    x = 11,826.68

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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.