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Finding the Fourth Proportional to 5,447.31, 8,172.03 and 1,749.26

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Solution

The fourth proportional to 5,447.31, 8,172.03 and 1,749.26 is: 2,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,447.31 : 8,172.03 = 1,749.26 : x
  2. Step 2: Convert to fraction form
    5,447.31/8,172.03 = 1,749.26/x
  3. Step 3: Cross multiply
    5,447.31x = 8,172.03 × 1,749.26
  4. Step 4: Simplify right side
    5,447.31x = 14,295,005.20
  5. Step 5: Solve for x
    x = 14,295,005.20/5,447.31
  6. Step 6: Final answer
    x = 2,624.23

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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.