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Finding the Fourth Proportional to 2,791, 4,187.94 and 1,423

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Solution

The fourth proportional to 2,791, 4,187.94 and 1,423 is: 2,135.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791 : 4,187.94 = 1,423 : x
  2. Step 2: Convert to fraction form
    2,791/4,187.94 = 1,423/x
  3. Step 3: Cross multiply
    2,791x = 4,187.94 × 1,423
  4. Step 4: Simplify right side
    2,791x = 5,959,438.62
  5. Step 5: Solve for x
    x = 5,959,438.62/2,791
  6. Step 6: Final answer
    x = 2,135.23

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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.