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Finding the Fourth Proportional to 2,786.76, 4,174.47 and 2,235.96

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Solution

The fourth proportional to 2,786.76, 4,174.47 and 2,235.96 is: 3,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.76 : 4,174.47 = 2,235.96 : x
  2. Step 2: Convert to fraction form
    2,786.76/4,174.47 = 2,235.96/x
  3. Step 3: Cross multiply
    2,786.76x = 4,174.47 × 2,235.96
  4. Step 4: Simplify right side
    2,786.76x = 9,333,947.94
  5. Step 5: Solve for x
    x = 9,333,947.94/2,786.76
  6. Step 6: Final answer
    x = 3,349.39

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1.5x scale

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.