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Finding the Fourth Proportional to 3,660, 5,041.89 and 2,774.94

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Solution

The fourth proportional to 3,660, 5,041.89 and 2,774.94 is: 3,822.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660 : 5,041.89 = 2,774.94 : x
  2. Step 2: Convert to fraction form
    3,660/5,041.89 = 2,774.94/x
  3. Step 3: Cross multiply
    3,660x = 5,041.89 × 2,774.94
  4. Step 4: Simplify right side
    3,660x = 13,990,942.24
  5. Step 5: Solve for x
    x = 13,990,942.24/3,660
  6. Step 6: Final answer
    x = 3,822.66

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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.