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Finding the Fourth Proportional to 3,868.98, 5,787 and 2,305.41

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Solution

The fourth proportional to 3,868.98, 5,787 and 2,305.41 is: 3,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,868.98 : 5,787 = 2,305.41 : x
  2. Step 2: Convert to fraction form
    3,868.98/5,787 = 2,305.41/x
  3. Step 3: Cross multiply
    3,868.98x = 5,787 × 2,305.41
  4. Step 4: Simplify right side
    3,868.98x = 13,341,407.67
  5. Step 5: Solve for x
    x = 13,341,407.67/3,868.98
  6. Step 6: Final answer
    x = 3,448.30

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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.