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Finding the Fourth Proportional to 3,984.67, 5,977.59 and 1,387

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Solution

The fourth proportional to 3,984.67, 5,977.59 and 1,387 is: 2,080.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.67 : 5,977.59 = 1,387 : x
  2. Step 2: Convert to fraction form
    3,984.67/5,977.59 = 1,387/x
  3. Step 3: Cross multiply
    3,984.67x = 5,977.59 × 1,387
  4. Step 4: Simplify right side
    3,984.67x = 8,290,917.33
  5. Step 5: Solve for x
    x = 8,290,917.33/3,984.67
  6. Step 6: Final answer
    x = 2,080.70

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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.