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Finding the Fourth Proportional to 31,471.68, 47,257.76 and 18,333.48

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Solution

The fourth proportional to 31,471.68, 47,257.76 and 18,333.48 is: 27,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.68 : 47,257.76 = 18,333.48 : x
  2. Step 2: Convert to fraction form
    31,471.68/47,257.76 = 18,333.48/x
  3. Step 3: Cross multiply
    31,471.68x = 47,257.76 × 18,333.48
  4. Step 4: Simplify right side
    31,471.68x = 866,399,197.80
  5. Step 5: Solve for x
    x = 866,399,197.80/31,471.68
  6. Step 6: Final answer
    x = 27,529.49

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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.