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Finding the Fourth Proportional to 3,874.84, 5,807.22 and 1,563.64

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Solution

The fourth proportional to 3,874.84, 5,807.22 and 1,563.64 is: 2,343.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.84 : 5,807.22 = 1,563.64 : x
  2. Step 2: Convert to fraction form
    3,874.84/5,807.22 = 1,563.64/x
  3. Step 3: Cross multiply
    3,874.84x = 5,807.22 × 1,563.64
  4. Step 4: Simplify right side
    3,874.84x = 9,080,401.48
  5. Step 5: Solve for x
    x = 9,080,401.48/3,874.84
  6. Step 6: Final answer
    x = 2,343.43

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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.