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Finding the Fourth Proportional to 18,996.68, 28,470.35 and 7,738.89

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Solution

The fourth proportional to 18,996.68, 28,470.35 and 7,738.89 is: 11,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,996.68 : 28,470.35 = 7,738.89 : x
  2. Step 2: Convert to fraction form
    18,996.68/28,470.35 = 7,738.89/x
  3. Step 3: Cross multiply
    18,996.68x = 28,470.35 × 7,738.89
  4. Step 4: Simplify right side
    18,996.68x = 220,328,906.91
  5. Step 5: Solve for x
    x = 220,328,906.91/18,996.68
  6. Step 6: Final answer
    x = 11,598.28

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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.