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Finding the Fourth Proportional to 7,867, 10,857.42 and 4,555

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Solution

The fourth proportional to 7,867, 10,857.42 and 4,555 is: 6,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867 : 10,857.42 = 4,555 : x
  2. Step 2: Convert to fraction form
    7,867/10,857.42 = 4,555/x
  3. Step 3: Cross multiply
    7,867x = 10,857.42 × 4,555
  4. Step 4: Simplify right side
    7,867x = 49,455,548.10
  5. Step 5: Solve for x
    x = 49,455,548.10/7,867
  6. Step 6: Final answer
    x = 6,286.46

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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.