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Finding the Fourth Proportional to 20,693.88, 31,040.88 and 7,546.23

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Solution

The fourth proportional to 20,693.88, 31,040.88 and 7,546.23 is: 11,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,693.88 : 31,040.88 = 7,546.23 : x
  2. Step 2: Convert to fraction form
    20,693.88/31,040.88 = 7,546.23/x
  3. Step 3: Cross multiply
    20,693.88x = 31,040.88 × 7,546.23
  4. Step 4: Simplify right side
    20,693.88x = 234,241,619.88
  5. Step 5: Solve for x
    x = 234,241,619.88/20,693.88
  6. Step 6: Final answer
    x = 11,319.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.