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Finding the Fourth Proportional to 3,867.72, 5,808.39 and 2,880.81

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Solution

The fourth proportional to 3,867.72, 5,808.39 and 2,880.81 is: 4,326.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.72 : 5,808.39 = 2,880.81 : x
  2. Step 2: Convert to fraction form
    3,867.72/5,808.39 = 2,880.81/x
  3. Step 3: Cross multiply
    3,867.72x = 5,808.39 × 2,880.81
  4. Step 4: Simplify right side
    3,867.72x = 16,732,868.00
  5. Step 5: Solve for x
    x = 16,732,868.00/3,867.72
  6. Step 6: Final answer
    x = 4,326.29

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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.