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Finding the Fourth Proportional to 3,984.78, 5,977.38 and 1,063.08

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Solution

The fourth proportional to 3,984.78, 5,977.38 and 1,063.08 is: 1,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.78 : 5,977.38 = 1,063.08 : x
  2. Step 2: Convert to fraction form
    3,984.78/5,977.38 = 1,063.08/x
  3. Step 3: Cross multiply
    3,984.78x = 5,977.38 × 1,063.08
  4. Step 4: Simplify right side
    3,984.78x = 6,354,433.13
  5. Step 5: Solve for x
    x = 6,354,433.13/3,984.78
  6. Step 6: Final answer
    x = 1,594.68

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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.