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Finding the Fourth Proportional to 2,072.50, 2,859.22 and 1,187.84

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Solution

The fourth proportional to 2,072.50, 2,859.22 and 1,187.84 is: 1,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.50 : 2,859.22 = 1,187.84 : x
  2. Step 2: Convert to fraction form
    2,072.50/2,859.22 = 1,187.84/x
  3. Step 3: Cross multiply
    2,072.50x = 2,859.22 × 1,187.84
  4. Step 4: Simplify right side
    2,072.50x = 3,396,295.88
  5. Step 5: Solve for x
    x = 3,396,295.88/2,072.50
  6. Step 6: Final answer
    x = 1,638.74

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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.