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Finding the Fourth Proportional to 31,296, 46,944 and 9,408

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Solution

The fourth proportional to 31,296, 46,944 and 9,408 is: 14,112

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296 : 46,944 = 9,408 : x
  2. Step 2: Convert to fraction form
    31,296/46,944 = 9,408/x
  3. Step 3: Cross multiply
    31,296x = 46,944 × 9,408
  4. Step 4: Simplify right side
    31,296x = 441,649,152
  5. Step 5: Solve for x
    x = 441,649,152/31,296
  6. Step 6: Final answer
    x = 14,112

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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.