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Finding the Fourth Proportional to 31,991.70, 47,918.30 and 23,207.25

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Solution

The fourth proportional to 31,991.70, 47,918.30 and 23,207.25 is: 34,760.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,991.70 : 47,918.30 = 23,207.25 : x
  2. Step 2: Convert to fraction form
    31,991.70/47,918.30 = 23,207.25/x
  3. Step 3: Cross multiply
    31,991.70x = 47,918.30 × 23,207.25
  4. Step 4: Simplify right side
    31,991.70x = 1,112,051,851.64
  5. Step 5: Solve for x
    x = 1,112,051,851.64/31,991.70
  6. Step 6: Final answer
    x = 34,760.64

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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.