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Finding the Fourth Proportional to 4,267.61, 6,388.05 and 2,764.61

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Solution

The fourth proportional to 4,267.61, 6,388.05 and 2,764.61 is: 4,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,267.61 : 6,388.05 = 2,764.61 : x
  2. Step 2: Convert to fraction form
    4,267.61/6,388.05 = 2,764.61/x
  3. Step 3: Cross multiply
    4,267.61x = 6,388.05 × 2,764.61
  4. Step 4: Simplify right side
    4,267.61x = 17,660,466.91
  5. Step 5: Solve for x
    x = 17,660,466.91/4,267.61
  6. Step 6: Final answer
    x = 4,138.26

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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.