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Finding the Fourth Proportional to 21,975, 30,325.50 and 12,543.36

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Solution

The fourth proportional to 21,975, 30,325.50 and 12,543.36 is: 17,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975 : 30,325.50 = 12,543.36 : x
  2. Step 2: Convert to fraction form
    21,975/30,325.50 = 12,543.36/x
  3. Step 3: Cross multiply
    21,975x = 30,325.50 × 12,543.36
  4. Step 4: Simplify right side
    21,975x = 380,383,663.68
  5. Step 5: Solve for x
    x = 380,383,663.68/21,975
  6. Step 6: Final answer
    x = 17,309.84

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1.5x scale

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.