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Finding the Fourth Proportional to 2,072.52, 2,859.99 and 1,187.71

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Solution

The fourth proportional to 2,072.52, 2,859.99 and 1,187.71 is: 1,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.52 : 2,859.99 = 1,187.71 : x
  2. Step 2: Convert to fraction form
    2,072.52/2,859.99 = 1,187.71/x
  3. Step 3: Cross multiply
    2,072.52x = 2,859.99 × 1,187.71
  4. Step 4: Simplify right side
    2,072.52x = 3,396,824.42
  5. Step 5: Solve for x
    x = 3,396,824.42/2,072.52
  6. Step 6: Final answer
    x = 1,638.98

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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.