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Finding the Fourth Proportional to 30,099, 41,536.68 and 16,851

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Solution

The fourth proportional to 30,099, 41,536.68 and 16,851 is: 23,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,099 : 41,536.68 = 16,851 : x
  2. Step 2: Convert to fraction form
    30,099/41,536.68 = 16,851/x
  3. Step 3: Cross multiply
    30,099x = 41,536.68 × 16,851
  4. Step 4: Simplify right side
    30,099x = 699,934,594.68
  5. Step 5: Solve for x
    x = 699,934,594.68/30,099
  6. Step 6: Final answer
    x = 23,254.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.