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Finding the Fourth Proportional to 30,115, 41,558.70 and 16,867

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Solution

The fourth proportional to 30,115, 41,558.70 and 16,867 is: 23,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,115 : 41,558.70 = 16,867 : x
  2. Step 2: Convert to fraction form
    30,115/41,558.70 = 16,867/x
  3. Step 3: Cross multiply
    30,115x = 41,558.70 × 16,867
  4. Step 4: Simplify right side
    30,115x = 700,970,592.90
  5. Step 5: Solve for x
    x = 700,970,592.90/30,115
  6. Step 6: Final answer
    x = 23,276.46

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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.