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Finding the Fourth Proportional to 1,866.10, 2,797.09 and 769.86

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Solution

The fourth proportional to 1,866.10, 2,797.09 and 769.86 is: 1,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866.10 : 2,797.09 = 769.86 : x
  2. Step 2: Convert to fraction form
    1,866.10/2,797.09 = 769.86/x
  3. Step 3: Cross multiply
    1,866.10x = 2,797.09 × 769.86
  4. Step 4: Simplify right side
    1,866.10x = 2,153,365.78
  5. Step 5: Solve for x
    x = 2,153,365.78/1,866.10
  6. Step 6: Final answer
    x = 1,153.94

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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.