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Finding the Fourth Proportional to 10,449.16, 15,662.75 and 3,427.36

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Solution

The fourth proportional to 10,449.16, 15,662.75 and 3,427.36 is: 5,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.16 : 15,662.75 = 3,427.36 : x
  2. Step 2: Convert to fraction form
    10,449.16/15,662.75 = 3,427.36/x
  3. Step 3: Cross multiply
    10,449.16x = 15,662.75 × 3,427.36
  4. Step 4: Simplify right side
    10,449.16x = 53,681,826.55
  5. Step 5: Solve for x
    x = 53,681,826.55/10,449.16
  6. Step 6: Final answer
    x = 5,137.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.