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Finding the Fourth Proportional to 3,807.64, 5,711.12 and 2,701.82

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Solution

The fourth proportional to 3,807.64, 5,711.12 and 2,701.82 is: 4,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.64 : 5,711.12 = 2,701.82 : x
  2. Step 2: Convert to fraction form
    3,807.64/5,711.12 = 2,701.82/x
  3. Step 3: Cross multiply
    3,807.64x = 5,711.12 × 2,701.82
  4. Step 4: Simplify right side
    3,807.64x = 15,430,418.24
  5. Step 5: Solve for x
    x = 15,430,418.24/3,807.64
  6. Step 6: Final answer
    x = 4,052.49

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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.