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Finding the Fourth Proportional to 6,265.44, 8,639.40 and 4,272

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Solution

The fourth proportional to 6,265.44, 8,639.40 and 4,272 is: 5,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.44 : 8,639.40 = 4,272 : x
  2. Step 2: Convert to fraction form
    6,265.44/8,639.40 = 4,272/x
  3. Step 3: Cross multiply
    6,265.44x = 8,639.40 × 4,272
  4. Step 4: Simplify right side
    6,265.44x = 36,907,516.80
  5. Step 5: Solve for x
    x = 36,907,516.80/6,265.44
  6. Step 6: Final answer
    x = 5,890.65

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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.