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Finding the Fourth Proportional to 31,471.88, 47,192.42 and 14,817.87

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Solution

The fourth proportional to 31,471.88, 47,192.42 and 14,817.87 is: 22,219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.88 : 47,192.42 = 14,817.87 : x
  2. Step 2: Convert to fraction form
    31,471.88/47,192.42 = 14,817.87/x
  3. Step 3: Cross multiply
    31,471.88x = 47,192.42 × 14,817.87
  4. Step 4: Simplify right side
    31,471.88x = 699,291,181.59
  5. Step 5: Solve for x
    x = 699,291,181.59/31,471.88
  6. Step 6: Final answer
    x = 22,219.56

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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.