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Finding the Fourth Proportional to 31,840, 47,760 and 12,384

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Solution

The fourth proportional to 31,840, 47,760 and 12,384 is: 18,576

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,840 : 47,760 = 12,384 : x
  2. Step 2: Convert to fraction form
    31,840/47,760 = 12,384/x
  3. Step 3: Cross multiply
    31,840x = 47,760 × 12,384
  4. Step 4: Simplify right side
    31,840x = 591,459,840
  5. Step 5: Solve for x
    x = 591,459,840/31,840
  6. Step 6: Final answer
    x = 18,576

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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.