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Finding the Fourth Proportional to 31,949.78, 47,928 and 12,245

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Solution

The fourth proportional to 31,949.78, 47,928 and 12,245 is: 18,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,949.78 : 47,928 = 12,245 : x
  2. Step 2: Convert to fraction form
    31,949.78/47,928 = 12,245/x
  3. Step 3: Cross multiply
    31,949.78x = 47,928 × 12,245
  4. Step 4: Simplify right side
    31,949.78x = 586,878,360
  5. Step 5: Solve for x
    x = 586,878,360/31,949.78
  6. Step 6: Final answer
    x = 18,368.78

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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.