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Finding the Fourth Proportional to 5,625, 7,764.12 and 3,762

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Solution

The fourth proportional to 5,625, 7,764.12 and 3,762 is: 5,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625 : 7,764.12 = 3,762 : x
  2. Step 2: Convert to fraction form
    5,625/7,764.12 = 3,762/x
  3. Step 3: Cross multiply
    5,625x = 7,764.12 × 3,762
  4. Step 4: Simplify right side
    5,625x = 29,208,619.44
  5. Step 5: Solve for x
    x = 29,208,619.44/5,625
  6. Step 6: Final answer
    x = 5,192.64

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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.