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Finding the Fourth Proportional to 31,809.66, 47,714.50 and 12,083.56

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Solution

The fourth proportional to 31,809.66, 47,714.50 and 12,083.56 is: 18,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,809.66 : 47,714.50 = 12,083.56 : x
  2. Step 2: Convert to fraction form
    31,809.66/47,714.50 = 12,083.56/x
  3. Step 3: Cross multiply
    31,809.66x = 47,714.50 × 12,083.56
  4. Step 4: Simplify right side
    31,809.66x = 576,561,023.62
  5. Step 5: Solve for x
    x = 576,561,023.62/31,809.66
  6. Step 6: Final answer
    x = 18,125.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.