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Finding the Fourth Proportional to 31,848, 47,772 and 12,392

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Solution

The fourth proportional to 31,848, 47,772 and 12,392 is: 18,588

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848 : 47,772 = 12,392 : x
  2. Step 2: Convert to fraction form
    31,848/47,772 = 12,392/x
  3. Step 3: Cross multiply
    31,848x = 47,772 × 12,392
  4. Step 4: Simplify right side
    31,848x = 591,990,624
  5. Step 5: Solve for x
    x = 591,990,624/31,848
  6. Step 6: Final answer
    x = 18,588

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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.