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Finding the Fourth Proportional to 2,586.31, 3,878.09 and 1,764.81

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Solution

The fourth proportional to 2,586.31, 3,878.09 and 1,764.81 is: 2,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.31 : 3,878.09 = 1,764.81 : x
  2. Step 2: Convert to fraction form
    2,586.31/3,878.09 = 1,764.81/x
  3. Step 3: Cross multiply
    2,586.31x = 3,878.09 × 1,764.81
  4. Step 4: Simplify right side
    2,586.31x = 6,844,092.01
  5. Step 5: Solve for x
    x = 6,844,092.01/2,586.31
  6. Step 6: Final answer
    x = 2,646.28

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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.