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Finding the Fourth Proportional to 6,367.12, 8,786.68 and 3,534.56

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Solution

The fourth proportional to 6,367.12, 8,786.68 and 3,534.56 is: 4,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.12 : 8,786.68 = 3,534.56 : x
  2. Step 2: Convert to fraction form
    6,367.12/8,786.68 = 3,534.56/x
  3. Step 3: Cross multiply
    6,367.12x = 8,786.68 × 3,534.56
  4. Step 4: Simplify right side
    6,367.12x = 31,057,047.66
  5. Step 5: Solve for x
    x = 31,057,047.66/6,367.12
  6. Step 6: Final answer
    x = 4,877.72

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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.