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Finding the Fourth Proportional to 20,142, 30,208.08 and 7,663.44

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Solution

The fourth proportional to 20,142, 30,208.08 and 7,663.44 is: 11,493.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,142 : 30,208.08 = 7,663.44 : x
  2. Step 2: Convert to fraction form
    20,142/30,208.08 = 7,663.44/x
  3. Step 3: Cross multiply
    20,142x = 30,208.08 × 7,663.44
  4. Step 4: Simplify right side
    20,142x = 231,497,808.60
  5. Step 5: Solve for x
    x = 231,497,808.60/20,142
  6. Step 6: Final answer
    x = 11,493.29

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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.