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Finding the Fourth Proportional to 7,855.68, 11,766.96 and 5,378.88

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Solution

The fourth proportional to 7,855.68, 11,766.96 and 5,378.88 is: 8,056.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.68 : 11,766.96 = 5,378.88 : x
  2. Step 2: Convert to fraction form
    7,855.68/11,766.96 = 5,378.88/x
  3. Step 3: Cross multiply
    7,855.68x = 11,766.96 × 5,378.88
  4. Step 4: Simplify right side
    7,855.68x = 63,293,065.80
  5. Step 5: Solve for x
    x = 63,293,065.80/7,855.68
  6. Step 6: Final answer
    x = 8,056.98

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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.