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Finding the Fourth Proportional to 6,467.72, 9,695.80 and 2,768.05

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Solution

The fourth proportional to 6,467.72, 9,695.80 and 2,768.05 is: 4,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.72 : 9,695.80 = 2,768.05 : x
  2. Step 2: Convert to fraction form
    6,467.72/9,695.80 = 2,768.05/x
  3. Step 3: Cross multiply
    6,467.72x = 9,695.80 × 2,768.05
  4. Step 4: Simplify right side
    6,467.72x = 26,838,410.71
  5. Step 5: Solve for x
    x = 26,838,410.71/6,467.72
  6. Step 6: Final answer
    x = 4,149.59

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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.