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Finding the Fourth Proportional to 2,796, 3,858.78 and 1,747.86

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Solution

The fourth proportional to 2,796, 3,858.78 and 1,747.86 is: 2,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,796 : 3,858.78 = 1,747.86 : x
  2. Step 2: Convert to fraction form
    2,796/3,858.78 = 1,747.86/x
  3. Step 3: Cross multiply
    2,796x = 3,858.78 × 1,747.86
  4. Step 4: Simplify right side
    2,796x = 6,744,607.21
  5. Step 5: Solve for x
    x = 6,744,607.21/2,796
  6. Step 6: Final answer
    x = 2,412.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.