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Finding the Fourth Proportional to 20,469.66, 30,703.10 and 7,987.38

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Solution

The fourth proportional to 20,469.66, 30,703.10 and 7,987.38 is: 11,980.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.66 : 30,703.10 = 7,987.38 : x
  2. Step 2: Convert to fraction form
    20,469.66/30,703.10 = 7,987.38/x
  3. Step 3: Cross multiply
    20,469.66x = 30,703.10 × 7,987.38
  4. Step 4: Simplify right side
    20,469.66x = 245,237,326.88
  5. Step 5: Solve for x
    x = 245,237,326.88/20,469.66
  6. Step 6: Final answer
    x = 11,980.53

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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.