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Finding the Fourth Proportional to 2,379, 3,283.74 and 1,551

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Solution

The fourth proportional to 2,379, 3,283.74 and 1,551 is: 2,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379 : 3,283.74 = 1,551 : x
  2. Step 2: Convert to fraction form
    2,379/3,283.74 = 1,551/x
  3. Step 3: Cross multiply
    2,379x = 3,283.74 × 1,551
  4. Step 4: Simplify right side
    2,379x = 5,093,080.74
  5. Step 5: Solve for x
    x = 5,093,080.74/2,379
  6. Step 6: Final answer
    x = 2,140.85

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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.