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Finding the Fourth Proportional to 3,953, 5,457.42 and 3,023.24

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Solution

The fourth proportional to 3,953, 5,457.42 and 3,023.24 is: 4,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953 : 5,457.42 = 3,023.24 : x
  2. Step 2: Convert to fraction form
    3,953/5,457.42 = 3,023.24/x
  3. Step 3: Cross multiply
    3,953x = 5,457.42 × 3,023.24
  4. Step 4: Simplify right side
    3,953x = 16,499,090.44
  5. Step 5: Solve for x
    x = 16,499,090.44/3,953
  6. Step 6: Final answer
    x = 4,173.81

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Why These Related Problems?

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