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Finding the Fourth Proportional to 20,473.66, 30,703.96 and 7,990.65

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Solution

The fourth proportional to 20,473.66, 30,703.96 and 7,990.65 is: 11,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.66 : 30,703.96 = 7,990.65 : x
  2. Step 2: Convert to fraction form
    20,473.66/30,703.96 = 7,990.65/x
  3. Step 3: Cross multiply
    20,473.66x = 30,703.96 × 7,990.65
  4. Step 4: Simplify right side
    20,473.66x = 245,344,607.96
  5. Step 5: Solve for x
    x = 245,344,607.96/20,473.66
  6. Step 6: Final answer
    x = 11,983.43

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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.