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Finding the Fourth Proportional to 7,078.43, 9,768.34 and 3,891.86

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Solution

The fourth proportional to 7,078.43, 9,768.34 and 3,891.86 is: 5,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.43 : 9,768.34 = 3,891.86 : x
  2. Step 2: Convert to fraction form
    7,078.43/9,768.34 = 3,891.86/x
  3. Step 3: Cross multiply
    7,078.43x = 9,768.34 × 3,891.86
  4. Step 4: Simplify right side
    7,078.43x = 38,016,962.87
  5. Step 5: Solve for x
    x = 38,016,962.87/7,078.43
  6. Step 6: Final answer
    x = 5,370.82

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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.