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Finding the Fourth Proportional to 21,991.28, 32,986.98 and 5,351.31

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Solution

The fourth proportional to 21,991.28, 32,986.98 and 5,351.31 is: 8,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991.28 : 32,986.98 = 5,351.31 : x
  2. Step 2: Convert to fraction form
    21,991.28/32,986.98 = 5,351.31/x
  3. Step 3: Cross multiply
    21,991.28x = 32,986.98 × 5,351.31
  4. Step 4: Simplify right side
    21,991.28x = 176,523,555.94
  5. Step 5: Solve for x
    x = 176,523,555.94/21,991.28
  6. Step 6: Final answer
    x = 8,026.98

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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.