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Finding the Fourth Proportional to 31,997.88, 48,004.38 and 12,276

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Solution

The fourth proportional to 31,997.88, 48,004.38 and 12,276 is: 18,416.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.88 : 48,004.38 = 12,276 : x
  2. Step 2: Convert to fraction form
    31,997.88/48,004.38 = 12,276/x
  3. Step 3: Cross multiply
    31,997.88x = 48,004.38 × 12,276
  4. Step 4: Simplify right side
    31,997.88x = 589,301,768.88
  5. Step 5: Solve for x
    x = 589,301,768.88/31,997.88
  6. Step 6: Final answer
    x = 18,416.90

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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.