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Finding the Fourth Proportional to 6,446.52, 9,676.64 and 2,750.48

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Solution

The fourth proportional to 6,446.52, 9,676.64 and 2,750.48 is: 4,128.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.52 : 9,676.64 = 2,750.48 : x
  2. Step 2: Convert to fraction form
    6,446.52/9,676.64 = 2,750.48/x
  3. Step 3: Cross multiply
    6,446.52x = 9,676.64 × 2,750.48
  4. Step 4: Simplify right side
    6,446.52x = 26,615,404.79
  5. Step 5: Solve for x
    x = 26,615,404.79/6,446.52
  6. Step 6: Final answer
    x = 4,128.65

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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.