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Finding the Fourth Proportional to 6,780, 9,353.79 and 4,261.08

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Solution

The fourth proportional to 6,780, 9,353.79 and 4,261.08 is: 5,878.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 9,353.79 = 4,261.08 : x
  2. Step 2: Convert to fraction form
    6,780/9,353.79 = 4,261.08/x
  3. Step 3: Cross multiply
    6,780x = 9,353.79 × 4,261.08
  4. Step 4: Simplify right side
    6,780x = 39,857,247.49
  5. Step 5: Solve for x
    x = 39,857,247.49/6,780
  6. Step 6: Final answer
    x = 5,878.65

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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.