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Finding the Fourth Proportional to 31,471.78, 47,207.46 and 12,751.54

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Solution

The fourth proportional to 31,471.78, 47,207.46 and 12,751.54 is: 19,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.78 : 47,207.46 = 12,751.54 : x
  2. Step 2: Convert to fraction form
    31,471.78/47,207.46 = 12,751.54/x
  3. Step 3: Cross multiply
    31,471.78x = 47,207.46 × 12,751.54
  4. Step 4: Simplify right side
    31,471.78x = 601,967,814.49
  5. Step 5: Solve for x
    x = 601,967,814.49/31,471.78
  6. Step 6: Final answer
    x = 19,127.22

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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.