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Finding the Fourth Proportional to 3,889.26, 5,368.08 and 2,563.20

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Solution

The fourth proportional to 3,889.26, 5,368.08 and 2,563.20 is: 3,537.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.26 : 5,368.08 = 2,563.20 : x
  2. Step 2: Convert to fraction form
    3,889.26/5,368.08 = 2,563.20/x
  3. Step 3: Cross multiply
    3,889.26x = 5,368.08 × 2,563.20
  4. Step 4: Simplify right side
    3,889.26x = 13,759,462.66
  5. Step 5: Solve for x
    x = 13,759,462.66/3,889.26
  6. Step 6: Final answer
    x = 3,537.81

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