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Finding the Fourth Proportional to 6,487.94, 9,729.86 and 2,104.49

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Solution

The fourth proportional to 6,487.94, 9,729.86 and 2,104.49 is: 3,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.94 : 9,729.86 = 2,104.49 : x
  2. Step 2: Convert to fraction form
    6,487.94/9,729.86 = 2,104.49/x
  3. Step 3: Cross multiply
    6,487.94x = 9,729.86 × 2,104.49
  4. Step 4: Simplify right side
    6,487.94x = 20,476,333.90
  5. Step 5: Solve for x
    x = 20,476,333.90/6,487.94
  6. Step 6: Final answer
    x = 3,156.06

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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.