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Finding the Fourth Proportional to 7,387.84, 11,076.72 and 3,879.84

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Solution

The fourth proportional to 7,387.84, 11,076.72 and 3,879.84 is: 5,817.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,387.84 : 11,076.72 = 3,879.84 : x
  2. Step 2: Convert to fraction form
    7,387.84/11,076.72 = 3,879.84/x
  3. Step 3: Cross multiply
    7,387.84x = 11,076.72 × 3,879.84
  4. Step 4: Simplify right side
    7,387.84x = 42,975,901.32
  5. Step 5: Solve for x
    x = 42,975,901.32/7,387.84
  6. Step 6: Final answer
    x = 5,817.11

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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.