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Finding the Fourth Proportional to 30,188.68, 41,660.34 and 16,762

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Solution

The fourth proportional to 30,188.68, 41,660.34 and 16,762 is: 23,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.68 : 41,660.34 = 16,762 : x
  2. Step 2: Convert to fraction form
    30,188.68/41,660.34 = 16,762/x
  3. Step 3: Cross multiply
    30,188.68x = 41,660.34 × 16,762
  4. Step 4: Simplify right side
    30,188.68x = 698,310,619.08
  5. Step 5: Solve for x
    x = 698,310,619.08/30,188.68
  6. Step 6: Final answer
    x = 23,131.54

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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.