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Finding the Fourth Proportional to 8,673.72, 13,007.64 and 2,828.88

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Solution

The fourth proportional to 8,673.72, 13,007.64 and 2,828.88 is: 4,242.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,673.72 : 13,007.64 = 2,828.88 : x
  2. Step 2: Convert to fraction form
    8,673.72/13,007.64 = 2,828.88/x
  3. Step 3: Cross multiply
    8,673.72x = 13,007.64 × 2,828.88
  4. Step 4: Simplify right side
    8,673.72x = 36,797,052.64
  5. Step 5: Solve for x
    x = 36,797,052.64/8,673.72
  6. Step 6: Final answer
    x = 4,242.36

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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.