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Finding the Fourth Proportional to 3,984.90, 5,977.65 and 1,063.14

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Solution

The fourth proportional to 3,984.90, 5,977.65 and 1,063.14 is: 1,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.90 : 5,977.65 = 1,063.14 : x
  2. Step 2: Convert to fraction form
    3,984.90/5,977.65 = 1,063.14/x
  3. Step 3: Cross multiply
    3,984.90x = 5,977.65 × 1,063.14
  4. Step 4: Simplify right side
    3,984.90x = 6,355,078.82
  5. Step 5: Solve for x
    x = 6,355,078.82/3,984.90
  6. Step 6: Final answer
    x = 1,594.79

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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.