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Finding the Fourth Proportional to 7,764, 11,652.48 and 3,660

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Solution

The fourth proportional to 7,764, 11,652.48 and 3,660 is: 5,493.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764 : 11,652.48 = 3,660 : x
  2. Step 2: Convert to fraction form
    7,764/11,652.48 = 3,660/x
  3. Step 3: Cross multiply
    7,764x = 11,652.48 × 3,660
  4. Step 4: Simplify right side
    7,764x = 42,648,076.80
  5. Step 5: Solve for x
    x = 42,648,076.80/7,764
  6. Step 6: Final answer
    x = 5,493.05

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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.