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Finding the Fourth Proportional to 20,357.88, 30,546 and 12,960.42

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Solution

The fourth proportional to 20,357.88, 30,546 and 12,960.42 is: 19,446.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.88 : 30,546 = 12,960.42 : x
  2. Step 2: Convert to fraction form
    20,357.88/30,546 = 12,960.42/x
  3. Step 3: Cross multiply
    20,357.88x = 30,546 × 12,960.42
  4. Step 4: Simplify right side
    20,357.88x = 395,888,989.32
  5. Step 5: Solve for x
    x = 395,888,989.32/20,357.88
  6. Step 6: Final answer
    x = 19,446.47

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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.