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Finding the Fourth Proportional to 12,657.98, 18,989.13 and 3,892.70

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Solution

The fourth proportional to 12,657.98, 18,989.13 and 3,892.70 is: 5,839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.98 : 18,989.13 = 3,892.70 : x
  2. Step 2: Convert to fraction form
    12,657.98/18,989.13 = 3,892.70/x
  3. Step 3: Cross multiply
    12,657.98x = 18,989.13 × 3,892.70
  4. Step 4: Simplify right side
    12,657.98x = 73,918,986.35
  5. Step 5: Solve for x
    x = 73,918,986.35/12,657.98
  6. Step 6: Final answer
    x = 5,839.71

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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.