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Finding the Fourth Proportional to 31,408.48, 47,112.72 and 11,692

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Solution

The fourth proportional to 31,408.48, 47,112.72 and 11,692 is: 17,538

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.48 : 47,112.72 = 11,692 : x
  2. Step 2: Convert to fraction form
    31,408.48/47,112.72 = 11,692/x
  3. Step 3: Cross multiply
    31,408.48x = 47,112.72 × 11,692
  4. Step 4: Simplify right side
    31,408.48x = 550,841,922.24
  5. Step 5: Solve for x
    x = 550,841,922.24/31,408.48
  6. Step 6: Final answer
    x = 17,538

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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.