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Finding the Fourth Proportional to 31,889.88, 47,843.01 and 12,174.06

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Solution

The fourth proportional to 31,889.88, 47,843.01 and 12,174.06 is: 18,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,889.88 : 47,843.01 = 12,174.06 : x
  2. Step 2: Convert to fraction form
    31,889.88/47,843.01 = 12,174.06/x
  3. Step 3: Cross multiply
    31,889.88x = 47,843.01 × 12,174.06
  4. Step 4: Simplify right side
    31,889.88x = 582,443,674.32
  5. Step 5: Solve for x
    x = 582,443,674.32/31,889.88
  6. Step 6: Final answer
    x = 18,264.22

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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.