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Finding the Fourth Proportional to 31,893.80, 47,830.95 and 25,638.98

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Solution

The fourth proportional to 31,893.80, 47,830.95 and 25,638.98 is: 38,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.80 : 47,830.95 = 25,638.98 : x
  2. Step 2: Convert to fraction form
    31,893.80/47,830.95 = 25,638.98/x
  3. Step 3: Cross multiply
    31,893.80x = 47,830.95 × 25,638.98
  4. Step 4: Simplify right side
    31,893.80x = 1,226,336,531.28
  5. Step 5: Solve for x
    x = 1,226,336,531.28/31,893.80
  6. Step 6: Final answer
    x = 38,450.63

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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.