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Finding the Fourth Proportional to 31,592.14, 47,388.27 and 8,218.54

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Solution

The fourth proportional to 31,592.14, 47,388.27 and 8,218.54 is: 12,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592.14 : 47,388.27 = 8,218.54 : x
  2. Step 2: Convert to fraction form
    31,592.14/47,388.27 = 8,218.54/x
  3. Step 3: Cross multiply
    31,592.14x = 47,388.27 × 8,218.54
  4. Step 4: Simplify right side
    31,592.14x = 389,462,392.53
  5. Step 5: Solve for x
    x = 389,462,392.53/31,592.14
  6. Step 6: Final answer
    x = 12,327.83

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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.