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Finding the Fourth Proportional to 31,798, 47,702.22 and 13,072.96

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Solution

The fourth proportional to 31,798, 47,702.22 and 13,072.96 is: 19,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,798 : 47,702.22 = 13,072.96 : x
  2. Step 2: Convert to fraction form
    31,798/47,702.22 = 13,072.96/x
  3. Step 3: Cross multiply
    31,798x = 47,702.22 × 13,072.96
  4. Step 4: Simplify right side
    31,798x = 623,609,213.97
  5. Step 5: Solve for x
    x = 623,609,213.97/31,798
  6. Step 6: Final answer
    x = 19,611.59

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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.