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Finding the Fourth Proportional to 6,376.50, 8,793.68 and 3,985.71

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Solution

The fourth proportional to 6,376.50, 8,793.68 and 3,985.71 is: 5,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.50 : 8,793.68 = 3,985.71 : x
  2. Step 2: Convert to fraction form
    6,376.50/8,793.68 = 3,985.71/x
  3. Step 3: Cross multiply
    6,376.50x = 8,793.68 × 3,985.71
  4. Step 4: Simplify right side
    6,376.50x = 35,049,020.35
  5. Step 5: Solve for x
    x = 35,049,020.35/6,376.50
  6. Step 6: Final answer
    x = 5,496.60

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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.