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Finding the Fourth Proportional to 20,474.43, 30,701.28 and 7,984.83

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Solution

The fourth proportional to 20,474.43, 30,701.28 and 7,984.83 is: 11,973.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,474.43 : 30,701.28 = 7,984.83 : x
  2. Step 2: Convert to fraction form
    20,474.43/30,701.28 = 7,984.83/x
  3. Step 3: Cross multiply
    20,474.43x = 30,701.28 × 7,984.83
  4. Step 4: Simplify right side
    20,474.43x = 245,144,501.58
  5. Step 5: Solve for x
    x = 245,144,501.58/20,474.43
  6. Step 6: Final answer
    x = 11,973.20

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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.