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Finding the Fourth Proportional to 6,446.20, 8,877.72 and 5,863

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Solution

The fourth proportional to 6,446.20, 8,877.72 and 5,863 is: 8,074.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.20 : 8,877.72 = 5,863 : x
  2. Step 2: Convert to fraction form
    6,446.20/8,877.72 = 5,863/x
  3. Step 3: Cross multiply
    6,446.20x = 8,877.72 × 5,863
  4. Step 4: Simplify right side
    6,446.20x = 52,050,072.36
  5. Step 5: Solve for x
    x = 52,050,072.36/6,446.20
  6. Step 6: Final answer
    x = 8,074.54

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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.