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Finding the Fourth Proportional to 31,693.56, 47,537.84 and 8,319.38

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Solution

The fourth proportional to 31,693.56, 47,537.84 and 8,319.38 is: 12,478.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.56 : 47,537.84 = 8,319.38 : x
  2. Step 2: Convert to fraction form
    31,693.56/47,537.84 = 8,319.38/x
  3. Step 3: Cross multiply
    31,693.56x = 47,537.84 × 8,319.38
  4. Step 4: Simplify right side
    31,693.56x = 395,485,355.34
  5. Step 5: Solve for x
    x = 395,485,355.34/31,693.56
  6. Step 6: Final answer
    x = 12,478.41

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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.