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Finding the Fourth Proportional to 5,453.48, 8,174 and 2,485.30

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Solution

The fourth proportional to 5,453.48, 8,174 and 2,485.30 is: 3,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.48 : 8,174 = 2,485.30 : x
  2. Step 2: Convert to fraction form
    5,453.48/8,174 = 2,485.30/x
  3. Step 3: Cross multiply
    5,453.48x = 8,174 × 2,485.30
  4. Step 4: Simplify right side
    5,453.48x = 20,314,842.20
  5. Step 5: Solve for x
    x = 20,314,842.20/5,453.48
  6. Step 6: Final answer
    x = 3,725.12

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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.