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Finding the Fourth Proportional to 27,408, 41,117.76 and 10,992

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Solution

The fourth proportional to 27,408, 41,117.76 and 10,992 is: 16,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,408 : 41,117.76 = 10,992 : x
  2. Step 2: Convert to fraction form
    27,408/41,117.76 = 10,992/x
  3. Step 3: Cross multiply
    27,408x = 41,117.76 × 10,992
  4. Step 4: Simplify right side
    27,408x = 451,966,417.92
  5. Step 5: Solve for x
    x = 451,966,417.92/27,408
  6. Step 6: Final answer
    x = 16,490.31

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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.