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Finding the Fourth Proportional to 7,855.71, 10,839.67 and 4,667.83

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Solution

The fourth proportional to 7,855.71, 10,839.67 and 4,667.83 is: 6,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.71 : 10,839.67 = 4,667.83 : x
  2. Step 2: Convert to fraction form
    7,855.71/10,839.67 = 4,667.83/x
  3. Step 3: Cross multiply
    7,855.71x = 10,839.67 × 4,667.83
  4. Step 4: Simplify right side
    7,855.71x = 50,597,698.05
  5. Step 5: Solve for x
    x = 50,597,698.05/7,855.71
  6. Step 6: Final answer
    x = 6,440.88

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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.