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Finding the Fourth Proportional to 21,102.94, 31,654.41 and 5,520.43

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Solution

The fourth proportional to 21,102.94, 31,654.41 and 5,520.43 is: 8,280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,102.94 : 31,654.41 = 5,520.43 : x
  2. Step 2: Convert to fraction form
    21,102.94/31,654.41 = 5,520.43/x
  3. Step 3: Cross multiply
    21,102.94x = 31,654.41 × 5,520.43
  4. Step 4: Simplify right side
    21,102.94x = 174,745,954.60
  5. Step 5: Solve for x
    x = 174,745,954.60/21,102.94
  6. Step 6: Final answer
    x = 8,280.65

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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.