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Finding the Fourth Proportional to 47,969.91, 71,954.91 and 17,991

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Solution

The fourth proportional to 47,969.91, 71,954.91 and 17,991 is: 26,986.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,969.91 : 71,954.91 = 17,991 : x
  2. Step 2: Convert to fraction form
    47,969.91/71,954.91 = 17,991/x
  3. Step 3: Cross multiply
    47,969.91x = 71,954.91 × 17,991
  4. Step 4: Simplify right side
    47,969.91x = 1,294,540,785.81
  5. Step 5: Solve for x
    x = 1,294,540,785.81/47,969.91
  6. Step 6: Final answer
    x = 26,986.52

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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.