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Finding the Fourth Proportional to 20,985, 31,480.83 and 6,945.54

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Solution

The fourth proportional to 20,985, 31,480.83 and 6,945.54 is: 10,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985 : 31,480.83 = 6,945.54 : x
  2. Step 2: Convert to fraction form
    20,985/31,480.83 = 6,945.54/x
  3. Step 3: Cross multiply
    20,985x = 31,480.83 × 6,945.54
  4. Step 4: Simplify right side
    20,985x = 218,651,364.00
  5. Step 5: Solve for x
    x = 218,651,364.00/20,985
  6. Step 6: Final answer
    x = 10,419.41

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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.