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Finding the Fourth Proportional to 8,471.28, 11,690.36 and 4,936.88

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Solution

The fourth proportional to 8,471.28, 11,690.36 and 4,936.88 is: 6,812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.28 : 11,690.36 = 4,936.88 : x
  2. Step 2: Convert to fraction form
    8,471.28/11,690.36 = 4,936.88/x
  3. Step 3: Cross multiply
    8,471.28x = 11,690.36 × 4,936.88
  4. Step 4: Simplify right side
    8,471.28x = 57,713,904.48
  5. Step 5: Solve for x
    x = 57,713,904.48/8,471.28
  6. Step 6: Final answer
    x = 6,812.89

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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.