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Finding the Fourth Proportional to 6,731.04, 9,288.90 and 3,936

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Solution

The fourth proportional to 6,731.04, 9,288.90 and 3,936 is: 5,431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.04 : 9,288.90 = 3,936 : x
  2. Step 2: Convert to fraction form
    6,731.04/9,288.90 = 3,936/x
  3. Step 3: Cross multiply
    6,731.04x = 9,288.90 × 3,936
  4. Step 4: Simplify right side
    6,731.04x = 36,561,110.40
  5. Step 5: Solve for x
    x = 36,561,110.40/6,731.04
  6. Step 6: Final answer
    x = 5,431.72

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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.