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Finding the Fourth Proportional to 2,267.90, 3,400.79 and 786.81

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Solution

The fourth proportional to 2,267.90, 3,400.79 and 786.81 is: 1,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,267.90 : 3,400.79 = 786.81 : x
  2. Step 2: Convert to fraction form
    2,267.90/3,400.79 = 786.81/x
  3. Step 3: Cross multiply
    2,267.90x = 3,400.79 × 786.81
  4. Step 4: Simplify right side
    2,267.90x = 2,675,784.40
  5. Step 5: Solve for x
    x = 2,675,784.40/2,267.90
  6. Step 6: Final answer
    x = 1,179.85

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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.