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Finding the Fourth Proportional to 31,671.36, 47,485.17 and 13,893.48

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Solution

The fourth proportional to 31,671.36, 47,485.17 and 13,893.48 is: 20,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671.36 : 47,485.17 = 13,893.48 : x
  2. Step 2: Convert to fraction form
    31,671.36/47,485.17 = 13,893.48/x
  3. Step 3: Cross multiply
    31,671.36x = 47,485.17 × 13,893.48
  4. Step 4: Simplify right side
    31,671.36x = 659,734,259.69
  5. Step 5: Solve for x
    x = 659,734,259.69/31,671.36
  6. Step 6: Final answer
    x = 20,830.63

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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.