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Finding the Fourth Proportional to 3,886.82, 5,832.59 and 1,578.26

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Solution

The fourth proportional to 3,886.82, 5,832.59 and 1,578.26 is: 2,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.82 : 5,832.59 = 1,578.26 : x
  2. Step 2: Convert to fraction form
    3,886.82/5,832.59 = 1,578.26/x
  3. Step 3: Cross multiply
    3,886.82x = 5,832.59 × 1,578.26
  4. Step 4: Simplify right side
    3,886.82x = 9,205,343.49
  5. Step 5: Solve for x
    x = 9,205,343.49/3,886.82
  6. Step 6: Final answer
    x = 2,368.35

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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.