Home / 31,941-47,912.31-11,164.50

Finding the Fourth Proportional to 31,941, 47,912.31 and 11,164.50

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Solution

The fourth proportional to 31,941, 47,912.31 and 11,164.50 is: 16,747.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,941 : 47,912.31 = 11,164.50 : x
  2. Step 2: Convert to fraction form
    31,941/47,912.31 = 11,164.50/x
  3. Step 3: Cross multiply
    31,941x = 47,912.31 × 11,164.50
  4. Step 4: Simplify right side
    31,941x = 534,916,985.00
  5. Step 5: Solve for x
    x = 534,916,985.00/31,941
  6. Step 6: Final answer
    x = 16,747.03

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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.