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Finding the Fourth Proportional to 31,375.64, 47,072.60 and 12,646

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Solution

The fourth proportional to 31,375.64, 47,072.60 and 12,646 is: 18,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375.64 : 47,072.60 = 12,646 : x
  2. Step 2: Convert to fraction form
    31,375.64/47,072.60 = 12,646/x
  3. Step 3: Cross multiply
    31,375.64x = 47,072.60 × 12,646
  4. Step 4: Simplify right side
    31,375.64x = 595,280,099.60
  5. Step 5: Solve for x
    x = 595,280,099.60/31,375.64
  6. Step 6: Final answer
    x = 18,972.68

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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.