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Finding the Fourth Proportional to 3,872.84, 5,804.22 and 1,561.64

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Solution

The fourth proportional to 3,872.84, 5,804.22 and 1,561.64 is: 2,340.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.84 : 5,804.22 = 1,561.64 : x
  2. Step 2: Convert to fraction form
    3,872.84/5,804.22 = 1,561.64/x
  3. Step 3: Cross multiply
    3,872.84x = 5,804.22 × 1,561.64
  4. Step 4: Simplify right side
    3,872.84x = 9,064,102.12
  5. Step 5: Solve for x
    x = 9,064,102.12/3,872.84
  6. Step 6: Final answer
    x = 2,340.43

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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.