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Finding the Fourth Proportional to 2,134.96, 3,200.52 and 766.64

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Solution

The fourth proportional to 2,134.96, 3,200.52 and 766.64 is: 1,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.96 : 3,200.52 = 766.64 : x
  2. Step 2: Convert to fraction form
    2,134.96/3,200.52 = 766.64/x
  3. Step 3: Cross multiply
    2,134.96x = 3,200.52 × 766.64
  4. Step 4: Simplify right side
    2,134.96x = 2,453,646.65
  5. Step 5: Solve for x
    x = 2,453,646.65/2,134.96
  6. Step 6: Final answer
    x = 1,149.27

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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.