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Finding the Fourth Proportional to 8,662, 11,953.80 and 4,936

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Solution

The fourth proportional to 8,662, 11,953.80 and 4,936 is: 6,811.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662 : 11,953.80 = 4,936 : x
  2. Step 2: Convert to fraction form
    8,662/11,953.80 = 4,936/x
  3. Step 3: Cross multiply
    8,662x = 11,953.80 × 4,936
  4. Step 4: Simplify right side
    8,662x = 59,003,956.80
  5. Step 5: Solve for x
    x = 59,003,956.80/8,662
  6. Step 6: Final answer
    x = 6,811.82

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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.